Chapter 5.7, Problem 30ES

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.

$\upsilon \left(t\right)=t\ln \left(t+0.1\right);0\le t\le 1$