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Applied Project: Which is Faster, Going Up or Coming Down? Question 4
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!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhs8oamMtAbudLII_Cg
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applied-project-which-is-faster-going-up-or-coming-down-question-4
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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