Chapter 24, Problem 39P

The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by

$\begin{array}{l}v=4t\\ v=16+{\left(4-t\right)}^2\end{array}$ $\begin{array}{l}0\le t\le 4\\ 4\le t\le 14\end{array}$

Where $v=\text{m/s}$.Employ the multiple-application Simpson's rule to determine the work if a constant force of 200 N is applied for all t.