How Does Kick Dynamics Affect Soccer Ball Impulse and Force?

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A player kicks a soccer ball (0.45kg). The player's foot is in contact with the ball for 3.0 H 10^-3 s and the force F(t)=[(6.0 * 10^6)t - (2.0 * 10^9)t^2 ]N for 0<_t<_3.0*10^-3s where t is in seconds.
Find the magnitude of (a) the impulse of the ball due to the kick, (b) the average and maximum force from the player's foot during the period of contact and (c) the ball's kinetic energy immediately after it loses contact with the player's foot.
 
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