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# Find the velocity and acceleration as functions of t?

The equation of motion of a particle isvs = t^3 − 3t where s is in meters and t is in seconds. (Assume t ≥ 0.)

v(t) =

a(t) =

Find the acceleration after 2 s.

Find the acceleration when the velocity is 0.

### 1 Answer

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- jcherry_99Lv 78 years agoFavorite Answer
s = t^3 - 3*t

v(t) = ds/dt = 3t^2 - 3

a(t) = dv/dt = 6*t

a(2) = 6*2 = 12 m/s^2

v = 0 = 3t^2 - 3

t^2 = 3/3

t^2 = 1

t=+1

t = - 1 has no meaning.

at t=1 the acceleration is

a(1) = 6*1 = 6 m/s^2

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