Problem 4-16 - Projectile - Part 13

A tennis player serves a ball horizontally, giving it a speed of 24m/s from a height of 2.5m. The player is 12m from the net and the top of the net is 0.90m above the court surface.

(a) How long is the ball in the air, assuming it clears the net and lands in the other court?
(b) How far horizontally does the ball travel?
(c) With what velocity does the ball strike the court surface?
(d) By how much distance does the ball clear the net?


Accumulated Solution

coordinates for solution A

y=v0,yt+(1/2)ayt2ay=9.8m/s2y=2.5mt=0.714s=0.71s(answer to (a))x=17m(answer to (b))vx=24m/svy=7.00m/sv=25m/sat16below the horizontal (answer to (c))time to net=0.5sy=1.23m(fallen in0.5s)

diagram of tennis ball with net

Height above the ground =2.5m1.23m=1.28m

The ball clears the net by:
1.280.9=0.38=0.4m

 

You have completed this problem.