​(a) What is the height of the baseball when it is​ hit? ​(b) After how many seconds does the baseball reach its maximum​ height? ​(c) Determine the maximum height of the baseball.

Question

A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)=−16t2+128t+4

Answer 1

h(t) = -16t² + 128t + 4

(a)

The initial height is 4 ft.

(b)

Maximum height is at the vertex of the height-vs.-time parabola, which is at

t = -b/(2a) = -128/[2(-16)] sec = ? sec

(c)

Evaluate h(t) at the time found in part (b) to get the maximum height.