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 introdu…
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 by 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.
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhs5DfuyktzGYXRMfVQ
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applied-project-which-is-faster-going-up-or-coming-down-question-1-introduction
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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