top of page

Tennis Matrix
Exploring the Physics Behind Tennis

Roger Federer

Acceleration of Racquet Take Back
Given:
vf = 4.36 m/s
vi = 2.31 m/s
t = 0.50 s
Required:
a (acceleration)

Analyze:
Solve:
a = (4.36 m/s - 2.31 m/s)/0.50 s
= 4.10 m/s^2
Present:
Therefore, Roger Federer's takeback speed is 4.10 m/s^2

Acceleration of Racquet
Given:
vf = 45.62 m/s
vi = 38.52 m/s
t = 0.10 s
Required:
a (acceleration)
Analyze:
Solve:
a = (45.62 m/s - 38.52 m/s)/0.10 s
= 71.00 m/s^2
Present:
Therefore, the acceleration of the ball that Roger Federer hits on his forehand is 71.00 m/s^2


Given:
vf = 18.83 m/s
vi = 9.05 m/s
t = 0.17 m/s
Required:
a (acceleration)
Analyze:
Solve:
a = (18.83 m/s - 9.05 m/s)/0.17 s
= 57.53 m/s^2
Present:
Therefore, Roger Federer's racquet speed after his take back is 57.53 m/s^2

Acceleration of Ball
bottom of page