# The equation of motion

**Question description**

The equation of motion of a particle is

s = t^{3} − 12t,

*s*is in meters and

*t*is in seconds. (Assume

*t*≥ 0.)

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

*v*(*t*) =

*a*(

*t*) =

(b) Find the acceleration after 6 s.

m/s

^{2}

(c) Find the acceleration when the velocity is 0.

m/s

^{2}

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