suppose a tennis player hits a ball over the net.

Question

suppose a tennis player hits a ball over the net. The ball leaves the racket 0,5 m above the ground. The function h= -4.9t^2 + 3.8t +0.5 gives the ball's height, h, in meters after t seconds. What is the ball's maximum height? How long will it take the ball to reach that height?

Answer 1

The maximum height occurs at the vertex of the height-vs.-time parabola, which is at

 

t = -3.8/[2(-4.9)] sec = ? sec

 

Plug this value of t into h(t) and get h_max in meters.