Question

Question
A soccer ball is kicked upward from the ground at 64 feet per second. The ball's height is modeled by the function h=−16t2+64t
. What is the maximum height the ball will reach?

**Alt-text:** Graph showing a parabolic trajectory of height versus time, with a blue curve and red points.
(1 point)
Responses

64 feet
64 feet

32 feet
32 feet

16 feet
16 feet

48 feet

Answer 1

Use the vertex of the parabola: t = -b/(2a) = -64/(2·-16) = 2 seconds.
h(2) = -16(2)^2 + 64(2) = -64 + 128 = 64 feet.

Answer: 64 feet.