If Rheam Gasper throws a ball upward with an initial speed of 32 feet per second, then its height h in feet t seconds is given by functions h(t)=-16t^2+32t

Question

(a) Find the maximum height of the ball

(b) How long will it take for the ball to each its maximum height

Answer 1

x = -b/2a

x = -32/(2)(-16)

x = 1

t(1) = -16(1²) + 32(1)

t(1) = -16 + 32

t = 16

 

Max height is 16 feet.

 

It will take the ball 1 second to reach 16 feet.