The equation of motion

The equation of motion

The equation of motion of a particle is

s = t3 − 12t,

where
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/s2

(c) Find the acceleration when the velocity is 0.
m/s2