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

