Question

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 1.60 × 10^{-3} s, and the force of the kick is given by
*F*(*t*) = [(6.39 × 10^{5})*t* - (3.99
× 10^{8})*t*^{2}] N for 0≤t≤1.60×10-3s,
where *t* is in seconds. Find the magnitudes of the
following: **(a)** the impulse on the ball due to the
kick, **(b)** the average force on the ball from the
player's foot during the period of contact, **(c)**
the maximum force on the ball from the player's foot during the
period of contact, and **(d)** the ball's speed
immediately after it loses contact with the player's foot.

Answer #1

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