The height of a golf ball in the air can be modeled by the equation h=negative16t squared plus 76t, where h is the height in feet of the ball after t seconds

Question

a. How lone was the ball in the air

b. What is the ball's maximum height?

c. When will the balol reach its maximum height?

Answer 1

h(t) = -16t² + 76t

 

(a)

 

Set h(t) = 0 and solve for t, which is the time of flight.

 

(b)

 

h_max occurs at the vertex of the h-vs.-t parabola, at

 

t = -76/[2(-16)] = ? sec

 

Evaluate h(t) at this value of t to get h_max.

 

(c)

 

See answer to part (b).