A silver dollar is dropped from the top of a building that is 1313 feet tall. Use the position function below for free-falling objects.

Question

s(t) = −16t² + v₀t + s₀

(a) Determine the position and velocity functions for the coin.

S(t)=

V(t)=

(b) Determine the average velocity on the interval [1, 2].

(c) Find the instantaneous velocities when t = 1 second and t = 2 seconds.

v(1)=

v(2)=

(d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.)

(e) Find the velocity of the coin at impact. (Round your answer to three decimal places.)

Answer 1