Chapter 5.7, Problem 20ES

The velocity of a mouse running alongside the baseboard of a room is modeled by the function

$\upsilon \left(t\right)=\frac{3}{t^2+1}-0.5t,0\le t\le 6$

where $t$ is in seconds and $\upsilon$ is in meters per second. (Assume that positive values of $\upsilon$ indicate motion to the right.) Estimate the time(s) at which the mouse is $2\text{ m}$ from its starting position.