Question

A​ T-shirt is launched from a height of 66 feet with an initial upward velocity of 6464 feet per second. The​ T-shirt is caught 4444 feet above the fieldfield. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time?

Answer 1

s = -16t^2 + 64t + 3
v = -32t + 64

the maximum height occurs when v = 0:
-32t + 64 = 0 when t = 2 sec

the maximum height is
s = -16(2^2) + 64(2) + 3 = 67 ft

the range is [ 3, 67]