Question

The fast server in women's tennis is Venus Williams, who recorded a serve of 130 mi/h (209 km/h) in 2007. If her racket pushed on the ball for a distance of 0.11m, what was the average acceleration of the ball during her serve? Express your answer to two significant figures and include the appropriate units.

The fast server in women's tennis is Venus Williams, who recorded a serve of 130 mi/h (209 km/h) in 2007.

If her racket pushed on the ball for a distance of 0.11 m, what was the average acceleration of the ball during her serve?

Answer 1

Here ,

speed of shot , u = 130 mi/hr

u = 209 km/hr = 209 * 1000/3600 m/s

u = 58.1 m/s

distance , d = 0.11 m

let the average acceleration is a

Using third equation of motion

v^2 - u^2 = 2 * a * d

58.1^2 = 2 * a * 0.11

a = 15343.7 m/s^2

the acceleration of the ball is 15343.7 m/s^2

b)

let the time interval is t

Using second equation of motion

s = u * t + 0.5 * a * t^2

0.11 = 0.5 * 15343.7 * t^2

t = 3.78 *10^-3 s

the time interval of the contact is 3.78 *10^-3 s