Question

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)

Answer 1

The parabola's vertex gives the maximum. For h(t) = −16t^2 + 64t, the time of the vertex is t = −b/(2a) = −64/(2·(−16)) = 2 s.
h(2) = −16(2)^2 + 64(2) = −64 + 128 = 64 feet.

Maximum height = 64 feet.