Question

A tennis racket hits a tennis ball with a force of F=at−bt2, where a = 1290 N/ms , b = 330 N/ms2 , and t is the time (in milliseconds). The ball is in contact with the racket for 2.80 ms . If the tennis ball has a mass of 55.6 g , what is the resulting velocity of the ball, v, after the ball is hit by the racket?

Answer 1

The resulting velocity of the ball after it hits the racket was of V= 51.6 m/s

Step-by-step explanation:

m= 55.6 g = 0.0556 kg

t= 2.8 ms = 2.8 * 10⁻³ s

F= 1290 N/ms * t - 330 N/ms² * t²

F= 1024.8 N

F*t= m * V

V= F*t/m

V= 51.6 m/s