A soccer player kicks a soccer ball of mass 0.50 kg that is initially at rest. T

Question

A soccer player kicks a soccer ball of mass 0.50 kg that is initially at rest. The player's foot is in contact with the ball for 1.8 multiplied by 10-3 s. The force of the kick is given by the following formula for 0 t 1.8 multiplied by 10-3 s, where t is in seconds.
F(t) = [(7.1 multiplied by 106)t - (3.2 multiplied by 109)t2] N

(a) Find the magnitude of the impulse imparted to the ball.
(b) Find the magnitude of the average force exerted by the player's foot on the ball during the period of contact.
(c) Find the magnitude of the maximum force exerted by the player's foot on the ball during the period of contact.
(d) Find the magnitude of the ball's velocity immediately after it loses contact with the player's foot.

Explanation / Answer

I don't guess there's point in me showing A or D, he seemed todo it well. for Part C and D: Using his answers above: J = Force * Time -You found J -T = 1.8e-3 secs 6.608 = 1.8e-3 *F FIND FORCE Unless you want to do the calculus, For PART C: -Graph that function on your graphing calculator. Time is the Xaxis. -Find the maximum. It is the highest point on the graph. I do not have my graphing calculator, so cannot do that.

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