A soccer player kicks a soccer ball of mass 0.40 kg that is initially at rest. The player's foot is in contact with the ball for 2.0 multiplied by 10-3 s, and the force of the kick is given by

F(t) = [(7.2 multiplied by 106)t - (3.0 multiplied by 109)t2] N,

for 0 t 2.0 multiplied by 10-3 s, where t is in seconds. Find the magnitudes of the following:

(b) the average force exerted by the player's foot on the ball during the period of contact,

(c) the maximum force exerted by the player's foot on the ball during the period of contact, and

(d) the ball's velocity immediately after it loses contact with the player's foot.

F(t) = [(7.2 multiplied by 106)t - (3.0 multiplied by 109)t2] N,

for 0 t 2.0 multiplied by 10-3 s, where t is in seconds. Find the magnitudes of the following:

(b) the average force exerted by the player's foot on the ball during the period of contact,

(c) the maximum force exerted by the player's foot on the ball during the period of contact, and

(d) the ball's velocity immediately after it loses contact with the player's foot.

### Recently Asked Questions

- Consider the following probability distribution of a random variable X . One of the probabilities has been replaced by a question mark . x 2 4 6 8 10 p x 0.2

- Suppose we have a sample data set of distance measurements , in metres . All of the observations are positive , and the observations are not all equal . Which

- Many cities in the United States have buyback programs for handguns , in which the police de- partment pays people to turn in guns . The guns are then