00:01
In this question, we say suppose that the path of a baseball hit straight up from three feet above the ground is modeled by the first quadrant graph of the function f of t, which equals negative 16t squared plus 50t plus three where t is the flight time of the ball in seconds and h is the height of the ball in feet.
00:22
I wanna know what is the velocity of the ball two seconds after it is hit.
00:29
So what do i know about velocity? i know that velocity is the derivative of my position function.
00:38
So i am going to need f prime of t in order to get my velocity function.
00:46
So first, what's the derivative of negative 16t squared? well, i'm going to take that exponent two and i multiply it down.
00:55
Negative 16 times two is negative 32.
00:59
Negative 32t and then i take one away from the exponent.
01:04
I had an exponent of two, so now i just have an exponent of one.
01:10
Plus, then i move on to the second term, the derivative of 50t.
01:16
I know that the derivative of any constant times t is just that constant...