# Net Change: Motion on a Line

## Key Questions

• If $p \left(t\right)$ is the position function, the the velocity function $v \left(t\right)$ is $p ' \left(t\right)$.

• If $p \left(t\right)$ is the position function of a particle, the distance traveled by the particle from $t = {t}_{1}$ to $t = {t}_{2}$ can be found by
${\int}_{{t}_{1}}^{{t}_{2}} | p ' \left(t\right) | \mathrm{dt}$.