Applied Project: Which is Faster, Going Up or Coming Down? Question 2
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 in obtaining the function for the height of a ball so make sure to watch it!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhs8PtnaVXQ9kQIVKqw
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applied-project-which-is-faster-going-up-or-coming-down-question-2
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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