Question

A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25 ft and spends a total of 2.5 s in the air, which equation models the height of the ball correctly? Assume that acceleration due to gravity is –16 ft/s^2.

Answer 1

v² = u² + 2as
v = 0 at maximum height
0 = u² - 2(16)(h)
u² = 32h
This equation models the height of the ball given the initial velocity in the y direction.