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!

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