A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. the player's foot is in contact with the ball for 1.6 × 10-3 s, and the force of the kick is given by f(t) = [(7.0 × 104)t - (1.6 × 106)t2] n for where it is in seconds. find the magnitudes of the maximum force on the ball from the player's foot during the period of contact,
The maximum force can be found by the following formula:
fmax = impulse/time. We are given that time is 1.6 x 10^-3s, so to find impulse, we need to integrate the function from 1.6 x 10^-3 s to 0. We find that impulse = 0.08742, so fmax = .08742/1.6x1-^-3 = 54.63 N.
