Chapter 5, Problem 33P

A railroad bumper is designed to slow down a rapidly moving railroad car. Alter a 20,000-kg railroad car traveling at 20 m/s engages the bumper, its displacement x (in meters) and velocity v (in m/s) as a function of time t (in seconds) is given by:

$x(t)=4.219(e^{-1.5t}-e^{-6.32t})$ and $v(t)=26.67(e^{-6.32t}-e^{-1.58t})$

Plot the displacement and the velocity as a function of time for $0\le t\le 4$ s. Make two plots on one page.