Chapter 6.5, Problem 55E

Baseball A batted baseball is subjected to a force whose direction is constant but whose magnitude is given by

$F(t)=-9,400,000(t^2-0.02t)(0\le t\le 0.02)$

where F(t) is measured in newtons and t in seconds. The force acts only over the time interval [0, 0.02 ]. Find the impulse I exerted by the bat on the baseball where

$I={\displaystyle {\int }_0^{0.02}F(t)dt}$

N-sec. What is the average force acting on the baseball?

Hint: Average force = $\frac{{\displaystyle {\int }_a^{b}F(t)dt}}{b-a}$