A tennis player aims to serve the ball horizontally when their racquet is 2.5 m above the ground. The distance from the player to the net is 15.0 m and the net is 0.9 m high

(a) What is the minimum speed with which the ball must leave the racquet if it is to just clear the net?
(b) How far beyond the net does the ball land?
(c) If the distance from the net to the service line is 7.0 m is the ball “in” or “out’?
(d) What is the total time for which the ball is in the air from the time that it leaves the racquet until it hits the ground?

3 answers

19.2 m/s
7.69 m/s
delta(y)=(1/2)*g*t^2
solve for t.
1.6=4.9t^2
t=.57143

delta(x)=Vo*t
solve for Vo.
15=Vo*.57143
Vo=26.25m/s