The equation of motion of a particle is s = t3 − 3t, 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 3 s. m/s2 (c) Find the acceleration when the velocity is 0. m/s2

a) , b) , c)

Step-by-step explanation:

a) The velocity and acceleration function are obtained by deriving the displacement function once and twice, respectively:

b) The acceleration of the particle at such instant is:

c) The time when velocity is zero is:

The acceleration is:

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