Question

. Suppose a coin is dropped from the top of the Empire State building in New York, which
is 1,454 feet tall. The position function for free-falling objects is:
s(t) =−16t^2+v0t + s0.
A. Determine the position and velocity functions for the coin.
B. Determine the average velocity of the coin on the interval [1, 3].
C. Find the instantaneous velocities when t =1 and t = 3.
D. At what time is the instantaneous velocity of the coin equal to the average velocity of
the coin found in part B?
E. Find the velocity of the coin just before it hits the ground.

Answer 1

You have the position function already. s(t) = 1454 - 16t^2

. Recall that s(t)' = velocity

But your object has no initial velocity because it is dropped...

v(t) = -32t