Question

A football player kicks the ball with an initial upward velocity of 64 feet per second. This situation is modeled using the equation h=−16t2+64t+0
, where h is the height in feet and t is the time in seconds. Using this equation, what is the maximum height the ball will reach?(1 point)
feet

Answer 1

The maximum occurs at t = -b/(2a) = -64/(2·-16) = 2 s.
h(2) = -16(2)^2 + 64(2) = -64 + 128 = 64 feet.

Maximum height = 64 feet.