Chapter 5.7, Problem 29ES

For the given velocity function $\upsilon \left(t\right)$ :

(a) Generate the velocity versus time curve, and use it to make a conjecture about the sign of the displacement over the given time interval.

(b) Use a CAS to find the displacement.

$\upsilon \left(t\right)=0.5-t{e}^{-t};0\le t\le 5$