Write an equation that gives the height (in feet) of the ball as a function of the time (in seconds) since it left your hand.

Question

You throw a ball up into the air. At 4 feet above the ground, the ball leaves your hand with an initial vertical velocity of 30 feet per sescond.

Answer 1

h(t) = (-1/2)gt² + v₀t + h₀

 

g = acceleration of gravity = 32 ft/sec²

v₀ = initial velocity = 30 ft/sec

h₀ = initial height = 4 ft

 

h(t) = -16t² + 30t + 4