A tennis player wants to slam a serve at O so that the ball lands just inside the opposite corner of the court.What should the ratio
Be for the initial velocity
? The time t = 0 is the time when the ball is hit by the racket.
A)W/L
B)L/W

Question

A tennis player wants to slam a serve at O so that the ball lands just inside the opposite corner of the court.What should the ratio 
Be for the initial velocity 
? The time t = 0 is the time when the ball is hit by the racket. 
A)W/L 
B)L/W

Quizplus · Accepted Answer

Let W be the width of the court and L be the length of the court.
Since the ball needs to land just inside the opposite corner of the court, its horizontal displacement will be W/2 and its vertical displacement will be L.
Using the equations of motion, we have:
W/2 = Vx*t
L = Vy*t - (1/2)*g*t^2
where Vx and Vy are the horizontal and vertical components of the initial velocity, g is the acceleration due to gravity (assumed constant), and t is the time taken for the ball to land.
Solving for t in the first equation and substituting into the second equation, we get:
L = Vy*(W/2Vx) - (1/2)*g*(W/2Vx)^2
Simplifying and rearranging, we get:
(Vy/Vx) = (2L/W)
So, the ratio of the initial vertical and horizontal velocities should be L/W, which is option B.

A Tennis Player Wants to Slam a Serve at O