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:

Question

s(t) = −16t^2 + v0t + s0
where v0 is the initial velocity and s0 is the initial position.

Find the instantaneous velocities when t =1 and t = 3.

What is the name of the theorem that says there must be at least one solution to
part D?

(I already figured out C, just can't find the theorem)

Answer 1

what the heck is part D?
You are probably looking for the
Intermediate Value Theorem
or the
Mean Value Theorem.