# How do you find the displacement of a particle that moves along a line?

##### 1 Answer
Sep 8, 2014

If $p \left(t\right)$ is the position function of a particle moving along a line, the displacement from $t = {t}_{1}$ to $t = {t}_{2}$ is $p \left({t}_{2}\right) - p \left({t}_{1}\right)$.

(Caution: A displacement is different from a distance traveled by a particle, which can be found by ${\int}_{{t}_{1}}^{{t}_{2}} | p ' \left(t\right) | \mathrm{dt}$.)