Use the position equation given below, where s represents the height of the object (in feet), v0
represents the initial velocity of the object (in feet per second),
s0
represents the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem.
s = −16t2 + v0t + s0
You drop a coin from the top of a building. The building has a height of 1038 feet.
(a) Use the position equation to write a mathematical model for the height of the coin.
s =

(b) Find the height of the coin after 5 seconds.
s =
ft

(c) How long does it take the coin to strike the ground? (Round your answer to two decimal places.)
t =
sec