# Math Easy Solutions

MES

In this video I go over another example on determining the solution of a separable equation and this time find the solution of the differential equation y' = x^2*y. I show how the constants in deriving the solution can all be grouped together because any combination of constants is still a constant. Also, I compare the direction field with the graphs of several solutions with different constants and show how they are correspond very well together. This is a pretty useful example on separable equations so make sure to watch this video!

Related Videos:

Differential Equations: Separable Equations: Example 2: https://youtu.be/jVVTmkfBe48
Differential Equations: Separable Equations: Example 1: https://youtu.be/Fhz2o9ZVOjQ
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Euler's Method: Example 2: https://youtu.be/-4qb_mniDR0
Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ
Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Derivative of y = ln|x| or absolute value of x: http://youtu.be/Trzm6tagKws
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0 .

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In this video I go over another example on separable equations and this time revisit the differential equation for the simple electric circuit that I had covered in my earlier videos. In my earlier videos I looked at approximating solutions by using a direction field but this time I show how that differential equation is in fact a separable equation and can be solved explicitely for the current as a function of time. I also graph the solution for the initial value problem where the switch is closed at time = 0 seconds. The solution proves that our approximation using a direction field is, in fact, very accurate!

Related Videos:

Differential Equations: Separable Equations: Example 3: https://youtu.be/ZmcGT1mm0_w
Differential Equations: Separable Equations: Example 2: https://youtu.be/jVVTmkfBe48
Differential Equations: Separable Equations: Example 1: https://youtu.be/Fhz2o9ZVOjQ
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Euler's Method: Example 2: https://youtu.be/-4qb_mniDR0
Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ
Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Derivative of y = ln|x| or absolute value of x: http://youtu.be/Trzm6tagKws
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0 .

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In this video I revisit my arch nemesis: “Athlete’s Foot” and this time I may have won the battle for good! My first Athlete’s Foot video was made 6 years ago in which I discussed some of the causes and symptoms of athlete’s foot and the method by which I had initially treated; although it never FULLY went away. I had tried using antifungal cream, soaking my feet in warm soapy water, and even taping up the infected region. These methods worked at the time but the athlete’s foot remained still visible. Then a couple of weeks ago after icing my then bruised feet in ice cold water, the athlete’s foot came back in full blast! But it also went away in the same rate it came back… and this was because of a new treatment method that I discovered while “experimenting” with ways of getting rid of my athlete’s foot for good!

After learning of both baking soda and rubbing alcohol’s disinfecting and cleaning properties, I decided to mix the two and then use the resulting solution to treat my athlete’s foot. And in a matter of a day or two, the fungus in between my toes literally appeared to dissolve! And my left foot shows no resemblance of ever having athlete’s foot! My right foot was the more severe foot but the fungus is almost completely gone; and I am confident it will disappear with continual treatment. My less than perfect toes should also clean up with this treatment method… I hope ;)

Anyways, as someone that has tried many different ways of trying to treat my athlete’s foot, I think I have just found the “cure”, well at least just for me! Try it out and let me know if it works for you!

View Video Notes on Steemit: https://steemit.com/health/@mes/athlete-s-foot-part-3-baking-soda-rubbing-alcohol-cure-i-think-so

Related Videos:

Athlete's Foot Video Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0Etm9S7NDe2h8QvypgPWoYq .

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The NBA has just signed a multi-billion dollar cable TV deal with its sponsors, and as such the NBA salary cap has jumped this off-season and is set to increase even more next season. This is because the players share in the profits of the NBA ever since the NBA Players Association (NBAPA) argued for a 50/50 split in the revenue with the NBA owners. As such, many players are signing big time record contract deal this off-season. But the best player, who is coming off a historic NBA Championship and Finals MVP permformance, LeBron James, has yet to sign a contract. He is currently heading into his second year of his previous contract and is most likely going to sign a Maximum Contract next year for the 2017/2018 NBA season. In fact, his max contract next year, if he signs it, will be the largest NBA Contract in history, worth more than \$200 million USD!! Watch this video to see just how he will be paid and learn more about the payment structure of the NBA.

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View Subscriber Count Without Unsubscribing: http://youtu.be/vxYw3ZRUdKo
Difference Between Expresso and Coffee: http://youtu.be/0zcRNLfOMIg
Poker: What is Equity?: http://youtu.be/xhZOfQGteAo
Odds of Having a Perfect NCAA March Madness Bracket: http://youtu.be/It1sCq9cAFM
What is 20/20 Vision?: http://youtu.be/31kYnnIjugQ
NCAA vs. NBA 3 Point Line: http://youtu.be/1__25TpOdB0
Odds of Winning the Lottery: http://youtu.be/dVNFhu6tMQc
NBA Free Agency and Max Contracts: Introduction: http://youtu.be/osDN-bnPULY
Deodorant vs. Antiperspirant: https://youtu.be/ofSXC2WydcE
Pokemon Go: Fastest XP Method: https://youtu.be/RMXghsq88Ag .

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In this video I go over a recap on orthogonal trajectories as well as an example in how to go abouts solving for a family of orthogonal trajectories to the parabolas x = k*y^2, where k is a constant. The first step is to write the parabolas equation as a differential equation and solve for the derivative. Then, as proved in my earlier video, if a curve is perpendicular or orthogonal to another, then the slopes of the tangent line must be a negative reciprocal to the tangent line of the other curves. Thus from this fact we can obtain a second differential equation, which luckily is a separable equation, and can be solved resulting in a family of ellipses. This is a very useful example on the steps involved in determining the orthogonal trajectories, which are actually used a lot in physics and engineering such as electricity and hydro-dynamics!

Related Videos:

Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94

Differential Equations: Euler's Method: Example 2: https://youtu.be/-4qb_mniDR0
Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ
Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Orthogonal Trajectories - A Brief Introduction: http://youtu.be/b4GpN01EiAc
Negative Reciprocals and Perpendicular Lines: http://youtu.be/Ue7FmrfmuX4 .

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In #MESExperiments number 4, I have uploaded THE Eric Laithwaite’s mind-boggling demonstration showing that an 8-pound gyro wheel precesses with no “angular momentum” or “inertia”; i.e. behaving like it has ZERO mass! I had covered this particular experiment in my earlier #AntiGravity Part 1 video (https://mes.fm/antigravity-playlist), so make sure to watch that video to get caught up on how and why I am now starting off with Laithwaite finished off.

Eric Laithwaite, during his famous 4th and 5th Christmas Institution in 1974 on gyroscopes (to which his name and brilliant work has been covered up and slandered by the “Royal (real science coverup) Society”), compared the impact a gyro wheel would have upon a wooden stick while it was spinning vs. not-spinning. When the gyroscope is spun up, using compressed air in this particular case, the gyroscope “precesses” around towards the stick but then just bounces off and starts moving downwards and in the opposite direction. Keep in mind that this is an 8-POUND gyro wheel! Now when the wheel is not spun but instead lifted to a height that would move at roughly the same speed during precession but when dropped due to gravity, the wheel obliterates that wooden stick! Imagine scaling this experiment up by a few ton and showing that a car-sized gyro wheel can hit a normal standing human… and bounce off as if he was Superman… #TimeToBuildAGiantGyroWheel

This is one of the most astonishing, yet very simple to perform, demonstrations I have ever seen! The *established* concept that “inertia” or “momentum” or “angular momentum” depend soley on mass and velocity gets thrown on their head. But even more troubling is pondering just exactly how long this *basic* fact of gyroscopes has been covered up…. And as I have demonstrated in my earlier experiments of gyroscopes rising against gravity and exerting forces with ZERO loss of spin rate, it appears that gyroscopes hold a key to unlocking the very *substance* of our perceived universe… #TheEtherExists…

Stay Tuned for #MESExperiments Number 5!

Purchase the Gyroscope used in my videos through my Amazon Affiliate Links:

Please donate so I can perform bigger experiments! https://mes.fm/donate

Related Videos:

#MESExperiments Video Series: https://mes.fm/experiments-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .

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In this video I go over the application of Mixing Problems, or in other words the mixing of varying concentrations of a substance into a liquid, and show how the mathematical representation of the process often yields a separable differential equation. In this example, I determine the amount of salt inside a tank after 30 minutes, while a high concentration of salty water, called brine, is added at a fixed flow rate, and which is the same flow rate that the mixed solution inside the tank leaves the tank. This is a very interesting video to see how mathematically modeling such applications yields differential equations, and in this example luckily it is a simple separable equation that we are in fact able to solve explicitly!

Related Videos:

Differential Equations: Orthogonal Trajectories: Example 1: https://youtu.be/WE5Zltu-9cI
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Euler's Method: Example 2: https://youtu.be/-4qb_mniDR0
Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ
Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Orthogonal Trajectories - A Brief Introduction: http://youtu.be/b4GpN01EiAc
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Derivative of y = ln|x| or absolute value of x: http://youtu.be/Trzm6tagKws
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0 .

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In this video I go over another applied project, which are very interesting math applications at the end of each chapter in my calculus book, and this time solve the applied project titled: How Fast Does a Tank Drain? The applied project looks at modeling a tank of water in terms of how fast it drains as the water level height decreases. This video involves solving Question 1 of the applied project which is looking at modeling a simple cylindrical tank and applying the Torricell's Law for drainage of a fluid in a tank. This example shows how the drainage of water from a tank can be modeled by a differential equation, and in this question it's a separable equation which allows us to solve for the height of the water level with time explicitly. This is a very interesting video on a real world example of applying differential equations to create solutions and I will be going over further questions on this applied project in the later video; so make sure to watch this video and stay tuned for more!!

Related Videos:

Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94 .

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In #911Truth Part 9 I present another fast forwarded video of the World Trade Center Towers turning to dust before our very eyes, and this time it involves both the WTC 1 North Tower and WTC 2 South Tower. The video clip is from the time frame 8:46: 28 AM (about 3 minutes AFTER the first “plane” struck the North Tower) to 10:23:10 AM (about 5 minutes BEFORE the North Tower “Collapses”). Note that I have put “plane” and “collapses” in quotation marks because Aluminum “Planes” don’t magically penetrate (and vanish) through thick steel columns; and a tall sky scraper frothing up into a giant dust ball/vertical column that leaves very little rubble, very little seismic reading, and very little projectiles , is anything BUT a conventional “collapse”. I have fast forwarded nearly the entire video by 45X speed to make the original 1:33:56 video length into a short 2:52 minute video. I have kept the *alleged* “plane” impact and the South Tower “collapse” to normal speed to better see these key moments of the video.

This is a truly amazing video showing a continuous stream of thick grey dust pouring out of both the North and South Towers. Initially the dust is mostly powering out of the North “Hole” and moving upwards before moving leftwards (presumably by the wind… or *other* energy/field effects…). At about the 20 “second” mark or 9:03 AM (about 13:30 minute mark of the original video), the “plane” strikes the South Tower. The impact is followed by a very large explosion that is seen through the complete OPPOSITE side of from the impact side. The explosion cloud quickly moves upwards and then fades away from sight. Now both towers are pouring thick dust from their “holes”. The impact hole of the South Tower was lower than the North Tower hole, and the dust coming out of the South Hole is very interestingly moving PERFECTLY VERTICAL upwards before reaching the top of the tower and then moving leftwards…. Very interesting… Especially since later in the video dust is pouring out of the North Tower’s left side… and moving leftwards instead of initially only upwards.... #SomethingStrangeIsOccurringHere Let me know your thoughts as to what is happening here!

At the 2:00 “minute” mark or 9:59 AM (about 1:09:30 of the original video) the South Tower “collapses” into a GIANT frothing dust cloud/ball that moves downwards and shows NO SIGNS of being made up of anything besides thick dust; suggesting the near hour of “dustification” literally turned most of the tower’s insides into dust.... Soon after the South Tower completely "dustifies", the North Tower LITERALLY starts pouring thick dust across the ENTIRE left side, as if it was literally being sucked out from within. Unfortunately, the video cuts off a few minutes before the North Tower too turns into a giant dust cloud. But fortunately you can see the North Tower's "collapse" in my Part 8 video.

Afterwards it appears that *another* building (i.e. one of the 7 World Trade Center Towers that turned to dust that day), begins "dustifying" at the 2:40 minute mark (at about the 1:24:00 mark of the original video) and can be spotted to the right of the North Tower by the darker dust suddenly rising. Another instance of a seemingly *other* building turning to dust is at the 2:48 minute mark (or about the 1:30:30 mark of the original video) in which another large volume of thick dark dust rises above the halfway height of the North Tower, and from its right side. #TrulyFascinatingStuff

This is an absolutely shocking and very illuminating video as to what exactly happened on September 11, 2001. As explained in my earlier parts and by Dr. Judy Wood, an energy/field phenomenon and technology was deployed that literally can molecularly separate matter and at a distance. This very same technology could be used for #FreeEnergy, as well as freeing our current reality and true human consciousness.

Watch the original length video here: https://youtu.be/qbRbiqn8etg

Stay Tuned for #911Truth Part 10….

View Video Notes on Steemit: https://steemit.co

Related Videos:

#911Truth Video Series: https://mes.fm/911truth-playlist
#MESExperiments Video Series: https://mes.fm/experiments-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .

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Many teams in the NBA are now focusing a lot on the three point shot but is this a good strategy? Well in this video, my brother Mark aka MFA, goes over the league averages in terms of shooting percentages for the 2015-2016 NBA Season in terms of:

Close Range Shots: Less than 10 feet from the rim.
Mid Range Shots: Greater than 10 feet but less than the 3 point line.
Three Point Shots: Beyond the 3-point line.

What's interesting is that even though the shooting percentages drop as you go further from the rim, when taking into account that a 3-point shot is worth 1 more point, the 3-point shot is actually more effecient than the mid-range shot. This is because the points per attempt is higher. In fact it is only slighly less effecient than close range shots. This does in fact explain why many teams around the league are abandoning the mid-range game and focusing on three point shooting, as can be seen by the ever increasing amount of threes by the league each season.

This is a pretty interesting video explaining why you see a lot of NBA teams shooting ill-advised three pointers so make sure to watch it!

Related Videos:

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NCAA vs. NBA 3 Point Line: http://youtu.be/1__25TpOdB0
NBA Free Agency and Max Contracts: Introduction: http://youtu.be/osDN-bnPULY
Lebron James In depth Stats in the 2012 NBA Finals: http://youtu.be/75dd0Tii3WY
Odds of Having a Perfect NCAA March Madness Bracket: http://youtu.be/It1sCq9cAFM .

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In this video I go over Question 2 of the Applied Project: How fast does a tank drain? This question has two parts, the first is too look at a different form of the Torricelli's Law which includes a constant k that needs to be determined from experimental data. From this differential equation, I model the drainage of a fluid when we are given two experimental data points. The second part of this question involves experimentally measuring the drainage of water in a soft-drink bottle at various times. I don't have the time to actually go over the experiment but I include a paper that performed the tests and states that the measurements match up almost identically with the model created in the first part of the question.

This video is a continuation of the applied project from my previous video, so make sure to watch my last video to get a better idea of this concept if you have not already done so.

Related Videos:

Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls

Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ .

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In this video I go over Question 3 of the "Applied Project: How Fast Does a Tank Drain?" video series. In this question, I take a look at a type of problem that engineers typically have to deal with, which is to give a gurantee based on mathematical calculations. In this case, I look at the large water tanks that many hospitals and hotels around the world use for their sprinkler systems. These tanks often use gravity as the lone force in providing for the water pressure needed for the sprinklers. But sometimes, and as in this particular question, they can be used as emergency water supplies in case of an emergency such as a fire or electrical failure. In this question, I solve the height of such a tank that is required to ensure that the water pressure after 10 minutes meets a required minimum water pressure. This is a very interesting and useful video as it illustrates just some of the mathematical and practicle problems that engineers deal with on a constant basis, so make sure to watch this video!

Related Videos:

Applied Project: How Fast Does a Tank Drain? Question 2: https://youtu.be/QtR1QuSNoyk
Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Multiplication by Hand - In depth look at the wonderful world of multiplication: http://youtu.be/bUKGh5R_0Sw .

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In this #MESExperiments Number 3, I continue further into the wonderful world of Gyroscopes, and this time go over another near-universally overlooked property of gyroscopes: they exert external forces during *some* changes in orientation but with ZERO loss in spin rate! This is some truly mind-boggling stuff! I demonstrate this by comparing three different tests with the same super precision gyroscope:

1) Manually Twisting the Gyroscope
2) Allowing the Gyroscope to magically precess UPWARDS!
3) Control Experiment: Simply Placing the Gyroscope on the countertop.

The video shows that in ALL experiments, the gyroscope spins for a total duration of roughly 17.5 minutes! I have performed these experiments dozens of times and with several different types of gyroscopes and the results are the same. Now the question remains: If the Spin Rate is not dropping, then where is this mysterious force coming from?? Is it “Angular Momentum”? If so how is this magical “angular momentum” being obtained but with no loss of spin energy?? And what is EXACTLY is "angular momentum", besides the mainstream "explanation" as a "tendency to maintain rotation"... Also, manually twisting the gyroscope shows that it can exert a considerable amount of force, ANY number of times, and at as fast of a pace that I choose, which simply gets “more force” out the gyroscope but again at no spin energy loss. After pondering this for many months, I can’t fathom any other explanation but that the gyroscope is not actually exerting the force… but rather acting as an “antenna” for a *surrounding* energy source or field… or “ether”… This is analogous to increasing the mass of an object which thus becomes harder to move around because of the added weight. And since the gyroscope weight doesn’t increase or decrease when placed on a weigh scale, it appears that the “weight” increases AROUND the gyroscope in a seemingly force or vortex field while it is spinning. Now this is a brain teaser of epic proportions and consequences! Let me know where and how you think the gyroscope is obtaining this “inertial force” from by commenting below!

Note that I state “some” changes in in orientation because as will be demonstrated in later experiments, a spinning top or a gyroscope precessing like a spinning top always keep upright as the Earth rotates. In other words, they behave as if they have no “angular momentum” and instead always *magically* align in opposition to the direction of gravity. It seems that a “simple” spinning top or gyroscope is the missing link between not just gravity and electromagnetism, but even the missing link between the physical reality and the spiritual or psychological…

Stay Tuned for #MESExperiments Number 4!

Purchase the Gyroscope used in my video through my Amazon Affiliate Links:

Please donate so I can perform bigger experiments! https://mes.fm/donate

Related Videos:

#MESExperiments Video Series: https://mes.fm/experiments-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .

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In this video I go over an introduction to Question 4 of the Applied Project: How Fast Does a Tank Drain? In the previous questions, I dealt with cylindrical tanks, but in this question I look at deriving the formula for the volume of a tank, and thus the Torricell's Law, for any shape of the tank. The formulas derived in this video are applicable to any shape of a tank, and they will be used as the basis for parst a) and b) of this Question 4, which I will go over in my next video. So, stay tuned for that!

Related Videos:

Applied Project: How Fast Does a Tank Drain? Question 4: Introduction: https://youtu.be/9J4QOCi1VbE

Applied Project: How Fast Does a Tank Drain? Question 2: https://youtu.be/QtR1QuSNoyk
Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Derivative Rules: Proof of Chain Rule: http://youtu.be/tYDDpKzP-VU
Integrals and Volumes: http://youtu.be/-evdvkDwBuQ
Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk
Fundamental Theorem of Calculus - Intro and Proof of Part 2 of the Theorem: http://youtu.be/yuIl-BPQHss .

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In this video I go over an extensive recap on Polar Equations and Polar Coordinates by going over the True-False Quiz found in the end of my Stewart Calculus textbook. This is a 10-Part quiz which involves evaluating each statement to determine if it is true or false, and explaining why and/or providing an example that makes it false. As many of you know by now, I have been busy researching into Suppressed Science, or what I like to call Real Science, so this video serves as a good way to take a break from my research and to get back into the groove of my mathematically challenging tutorials. This video is much more extensive than my usual math tutorials and this is because I plan to spend more time researching and less time producing individual videos. Nonetheless, I will look to cover MUCH MORE math concepts and topics than in previous years by combining them into less videos, but of longer duration.

The True-False Quiz I cover involves graphing, differentiating, integrating, and comparing functions in Cartesian, Polar, and Parametric form; including Conic Sections in Polar Coordinates. This is a very extensive and very great way to get caught up on Parametric and Polar Equations in general so make sure to watch this video!

MES NOTE: In Question/Statement 10 of the Quiz I also go over a mistake from my earlier video regarding the Hyperbola and its location of the Directrix. The Directrix should be in between the Focus and Center; and NOT as shown in my earlier video: https://steemit.com/mathematics/@mes/conics-in-polar-coordinates-unified-theorem-hyperbola-proof

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/parametric-equations-and-polar-coordinates-true-false-quiz-and-solutions

Related Videos:

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In this experiment, I continue further with a Gyroscope’s amazing ability to precess upwards on rotating surfaces (or low friction surfaces) and this time show that it can rise upwards even at very steep angles. This time I am using a Super Precision Gyroscope (See Affiliate Link Below) and starting at a super steep angle of about 60 degrees from the vertical. I had initially thought it was not possible for the gyroscope to rise fully upwards from such a steep angle, but the magical gyroscope continues to baffle everything I thought was possible!

Starting from an initial angle from the vertical of about 60 degrees, the gyroscope precesses upwards in about 3 and half minutes to about 42 degrees, and ultimately perfectly vertical in 7 minutes.

The gyroscope then maintains a stable vertical position for about a minute before it starts wobbling off course. Then in roughly a minute longer, the gyroscope precesses downwards until about 60 degrees from the vertical. A minute later the gyroscope eventually precesses at GREATER than 90 degrees from the vertical (or a negative angle below the horizontal) until it strikes one of the base supports thus falling over. Looks like I will have to perform a second test in which I raise the support higher to see just how long the gyroscope can precess below the horizontal angle. The gyroscope precesses for a total of about 10 minutes moving both upwards and then downwards; truly amazing stuff!

Later in the video I place the gyroscope on its side on show how just lightly touching it causes it to behave in bizarre and truly remarkable ways! The Super Precision Gyroscope spun for a total of 17 and half minutes. Another BOMBSHELL discovery about gyroscopes, which I will demonstrate in future experiments, is that the gyroscope NEVER loses spin speed as a result of its percession, or even manually twisting it. In other words, the gyroscope’s ability to move, interact, and impart forces upon *some* changes to its orientation DOES NOT SLOW DOWN or use the “energy” of the spinning gyroscope. Now this brings into question, WHERE is this “energy” coming from?? If not from the gyroscope itself, then maybe Bruce DePalma, founder of the N-Machine #FreeEnergy Machine before his untimely almost certain assassination, is right in that the gyroscope is acting like an “antenna” to the energy field all around us…. Cough the Ether Exists cough cough ;)

MES Note: I say *some* changes to its orientation because, as will further be explained in detail, as the Earth Rotates the gravity field moves but the gyroscope or spinning tops in general aren’t affected by this change in the forces (in this case a moving gravity field) acting upon its orientation; i.e. #InceptionIsReal

Anyways, let me know what you think is behind this amazing property of the gyroscope to magically rise as it precesses. I am of the view that rotation, or even all forms of motion itself, interacts with Gravity in a similar way that rotation of electric fields and magnetic fields interact with each other. This is some truly fascinating concepts to wonder and may in fact involve understanding much more of our reality than I would’ve previously imagined.

Stay Tuned for #MESExperiments Number 3!

Purchase the Gyroscope used in my video through my Amazon Affiliate Links:

Related Videos:

#MESExperiments Video Series: https://mes.fm/experiments-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .

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In this video, I go over part a) of Question 4 of the Applied Project: How Fast Does a Tank Drain? In my last video I went over differential equation that relates the derivative of the water height as it drains from a tank with the water tank itself, but this time for a tank of a general or any shape. From that resulting differential equation, I look at a tank in the shape of a sphere and the derive the differential equation for this specific shape. In my next video I go over part b) of this question 4 and calculate how long it will take for the tank to completely drain out of water, so stay tuned for that video!

Related Videos:

Applied Project: How Fast Does a Tank Drain? Question 4: Introduction: https://youtu.be/9J4QOCi1VbE
Applied Project: How Fast Does a Tank Drain? Question 4: Introduction: https://youtu.be/9J4QOCi1VbE
Applied Project: How Fast Does a Tank Drain? Question 2: https://youtu.be/QtR1QuSNoyk
Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ
Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I .

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In this video I go over part b) of Question 4 of the Applied Project: How Fast Does a Tank Drain? This example continues from my last video, which was part a), and uses the differential equation developed in that video for a spherical water tank, to evaluate the time it takes for the tank to completely drain out of water. Although I don't solve the equation of the water height explicitly, it is still good enough to determine it explicitly as a function of time because it still allows us to evaluate specific heights at specific times. Also in the video I do a lot of calculations by hand as opposed to simply using a calculator, so make sure to watch this video if you want to also see a good exercise in algebra and calculations by hand!

Related Videos:

Applied Project: How Fast Does a Tank Drain? Question 4: Part a): https://youtu.be/OyREUg6uCqc
Applied Project: How Fast Does a Tank Drain? Question 4: Introduction: https://youtu.be/9J4QOCi1VbE
Applied Project: How Fast Does a Tank Drain? Question 4: Introduction: https://youtu.be/9J4QOCi1VbE
Applied Project: How Fast Does a Tank Drain? Question 2: https://youtu.be/QtR1QuSNoyk
Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Addition and Subtraction by Hand - An in-depth look: http://youtu.be/Tkb7xU-lFWU
Multiplication by Hand - In depth look at the wonderful world of multiplication: http://youtu.be/bUKGh5R_0Sw
Long Division by Hand - An in depth look: http://youtu.be/giBZg5Vqryo
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0 .

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What better way to begin my #MESExperiments video series than by demonstrating one of the most universally unknown properties of gyroscopes: their ability to RISE UPWARDS as they precess. In this experiment I show that this ability of gyroscopes depends partially on the angle it is tilted relative to the vertical but depends mainly on the amount of “friction” of the surface it is placed on. The lower the friction, the better the gyroscope’s ability to magically rise.

Even when it precesses about a rotating platform, the gyroscope can still rise upwards! The rotating platform is a good way to minimize the friction between the gyroscope stem and the surface it is placed on. What’s also VERY interesting, is that with higher friction, the gyroscope may even lower to the ground in a matter of seconds; while with lower friction the gyroscope precesses for several minutes longer upwards, and, as I will show in my later experiments, it remains upright for a much longer time than higher friction surfaces.

This is a truly amazing demonstration of just another magical property of gyroscopes. Let me know what you think is going on here! Note that the precession speed increases presumably as the gyro wheel spin speed decreases, thus providing an acceleration in precession speed. An acceleration, in mainstream science terms, indicates a “force” or “torque”. Is this self-created “force” the reason behind why it is rising? Well if you stay tuned for my later experiments, especially my #AntiGravity Part 6 video, it is almost certainly an intrinsic property of matter to INTERACT with gravity through rotational motion. #StayTuned

Anyways, let me know what you think and stay tuned for my next experiment!

Purchase the Gyroscope used in my video through my Amazon Affiliate Links:

Related Videos:

#MESExperiments Video Series: https://mes.fm/experiments-playlist
#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .

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In this video I go over a quick introduction on a brand new video series on presenting some of the amazing MES Science Experiments that I have been performing in my quest for Suppressed #FreeEnergy and #AntiGravity Science. After spending months of countless hours researching for my #AntiGravity Part 6 video, it appears that I may have a few more countless of research to adequately present my bombshell findings! That being said, I have gone on too long of a hiatus of not uploading videos so this definitely has to change! Thus uploading some of the experiments that I am doing behind the scenes is a great way to show you some of the research I am working on and also to get your feedback and thoughts of your own as to exactly what is happening. Here at MES, simple regurgitation of mainstream “science” talking points is not good enough, but feel free to provide your very own explanation… regardless of how far-out it may be. I don’t pretend like I have a clue what reality is so I am open to all suggestions.

My #AntiGravity Part 6 research is on all things spinning, and this has led me to explore ALL avenues of life: from physics, electromagnetism, gravity, to religion, philosophy, and even real time sports. Simply trying to discover the true mechanism and causation of how a simple spinning top stays upright (and no, simply saying “angular momentum” is not an answer) involves diving into the world of duality: objects at rest & objects in motion, light & darkness, life & death, good & evil, conscious & subconscious, Humanity & God, etc.; and with Rotation representing the merger of seemingly opposing forces. This interconnectedness of all things has led me to believe that simply understanding the true fundamental behavior of anything, regardless of how specific, involves understanding everything: If you know anything, you know everything.

With those MES words of wisdom being said, stay tuned as I will be uploading some truly amazing science experiments! Also, while I continue to research for my epic #AntiGravity Part 6 video, I will also be throwing in some mathematical challenging videos throughout, since Mathematics is the name of the game here at MES.

And instead of just waiting to see what experiments I perform, get started by buying a gyroscope with my Amazon Affiliate Link, to both help me out financially and to see what magical experiments you can discover: https://www.amazon.com/gp/search?ie=UTF8&tag=mes01e-20&linkCode=ur2&linkId=16fb8aece0ce61a58021323c069a4e63&camp=1789&creative=9325&index=industrial&keywords=gyroscope

View Video Notes on Steemit: https://steemit.com/mesexperiments/@mes/mesexperiments-introduction-to-mes-science-experiments

Related Videos:

#AntiGravity Video Series: https://mes.fm/antigravity-playlist
#FreeEnergy Video Series: https://mes.fm/freeenergy-playlist .
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In this video I go over an overview of another Applied Project, which is an interesting math project at the end of each chapter in my calculus textbook, which is titled "Which is Faster, Going Up or Coming Down?". I also go over an introduction and overview of Question 1 of this applied project, which I will solve in my next video. This applied project involves throwing a ball in the air and then determining whether it takes longer for the ball to reach its final height versus the time it takes for the ball to reach the ground from its final height. The first question involves modeling the motion of the model through a differential equation through utilizing Newton's Second Law of Motion to find the overall force acting on the ball, as well as modeling the air resistance as a linear function of velocity of the ball.

In this video, I also give my initial guess of it being the same time to and from the maximum height, which I believe is a reasonable guess given that the concept seems reasonably straight forward. If you have made a guess as well, please comment below as I am interested to hear how your reasoning is for this problem. At this time actually, I have not solved this project yet so I am interested to find out whether my guess is correct or not!

Anyways stay tuned for my next videos as I go further into this Applied Project, which has 5 questions in total.

Related Videos:

Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94 .

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In this video I go further into the Applied Project: Which is Faster, Going Up or Coming Down? In my last video I only briefly went over and introduced Question 1 but in this video I go over the solution to it. Basically this question involves solving the differential equation I had derived in my last video for the motion of a ball being thrown directly up in the air, and solving it in terms of the velocity of the ball as a function of time. The solution involves solving a separable differential equation with the initial value being known, much like the initial value problems in my earlier videos. There are 5 total questions to this Applied Project so stay tuned for those!

Related Videos:

Applied Project: Which is Faster, Going Up or Coming Down? Question 1 Introduction: https://youtu.be/uzTr37FHItQ

Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Derivative of y = ln|x| or absolute value of x: http://youtu.be/Trzm6tagKws
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI .

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In this video I continue further into the Applied Project: "Which is Faster, Going Up or Coming Down?" and this time solve Question 2. This question involves deriving the formula for the height of the ball being thrown directly in the air, as a function of time. In Question 1, I went over the derivation of the equation for the velocity of the ball, and it is this formula that we can use to determine the height of the ball. Recall that the velocity is simply the derivative of the position function, in this case the position function is the height function. Thus we can take the integral of the velocity to obtain the position function. That is what I go over in this video, which although is pretty straight forward, it is a bit tedious because of the long equation of the velocity function. Nonetheless this is an interesting video obtaining the function for the height of a ball so make sure to watch it!

Related Videos:

Applied Project: Which is Faster, Going Up or Coming Down? Question 1: https://youtu.be/VFH4Pc5cA-M
Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Derivative of y = ln|x| or absolute value of x: http://youtu.be/Trzm6tagKws
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Antiderivatives - Examples, Part 4 - Position, Velocity, Acceleration Functions: http://youtu.be/PDhLLURJSPs .

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In this video I go over Question 3 of the Applied Project: Which is Faster, Going Up or Coming Down? This question involves solving for the time it takes for the ball to reach its maximum height. This is solved by the fact that at the maximum height, the velocity of the ball is zero because it is not moving just before it starts falling back down to the earth. Since we know the formula for the velocity of the ball from Question 1, we can solve for the time to reach its maximum height. Also in this question, I solve for this specific time for the case the ball weighs 1 kg, the initial velocity is 20 m/s and the air resistance is half the speed of the ball.

In my next video I go over the time it takes for the ball to reach the ground and compare it with the time it takes to reach its maximum height. And thus finally solving the basic question of this applied project, so stay tuned for that video!

Related Videos:

Applied Project: Which is Faster, Going Up or Coming Down? Question 2: https://youtu.be/irZGAdB6HPk
Applied Project: Which is Faster, Going Up or Coming Down? Question 1: https://youtu.be/VFH4Pc5cA-M
Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Derivative of y = ln|x| or absolute value of x: http://youtu.be/Trzm6tagKws
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Antiderivatives - Examples, Part 4 - Position, Velocity, Acceleration Functions: http://youtu.be/PDhLLURJSPs .

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In this video I go over Question 4 of the Applied Project: Which is Faster, Going Up or Coming Down? In this question I use the example of the ball in Question 3 to determine the time it takes for it to reach the ground after its maximum height. In this particular example, it is shown that it is in fact slightly faster for the ball to reach its maximum height than it is for it hit the ground after reaching its maximum height. This shows that my initial guess, from Question 1, that the times should be the same, to be proven incorrect.

This is actually a very interesting result. In this question, the time it takes until the ball hits the ground is determined numerically through the graph of the height function derived in Question 3. It turns out that finding an explicit answer for the time is not possible for this particular height function. I will explain this further in Question 5 in the next video, as well as go over a general case to show that the time is always faster to reach the maximum height. That is a very interesting video so stay tuned!

Related Videos:

Applied Project: Which is Faster, Going Up or Coming Down? Question 3: https://youtu.be/DM5WFRv2Hh8
Applied Project: Which is Faster, Going Up or Coming Down? Question 2: https://youtu.be/irZGAdB6HPk
Applied Project: Which is Faster, Going Up or Coming Down? Question 1: https://youtu.be/VFH4Pc5cA-M
Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Addition and Subtraction by Hand - An in-depth look: http://youtu.be/Tkb7xU-lFWU .

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