#### Problem 64E

The equation of motion of a particle is $s=t^{4}-2 t^{3}+t^{2}-t$, where $s$ is in meters and $t$ is in seconds.

(a) Find the velocity and acceleration as functions of $t$.

(b) Find the acceleration after $1 \mathrm{~s}$.

(c) Graph the position, velocity, and acceleration functions on the same screen.