A volleyball player serves the ball. The \(0.27-\mathrm{kg}\) ball was moving straight up and is at the high point of its trajectory when she hits it in a purely horizontal direction. The magnitude of the force exerted on the ball while her hand is in contact with it is given by

where \(a=3.0 \times 10^{5} \mathrm{~N} / \mathrm{s}\) and \(b=1.0 \times 10^{8} \mathrm{~N} / \mathrm{s}^{2}\). Her hand is in contact with the ball for \(3.0 \mathrm{~ms}\). What is the magnitude of 

(a) the impulse delivered to the ball,

(b) the average force exerted by her hand on the ball, and 

(c) the maximum force exerted by her hand on the ball?

(d) What is the velocity of the ball immediately after her hand loses contact with it?

Transcribed Image Text:

F(t) = at-bt,