Question

The velocity function of a particle is given by v(t) = 3t2 – 24t + 36....

The velocity function of a particle is given by v(t) = 3t2 – 24t + 36.

a) Find the equation for a(t), the acceleration.

b) If s(1) = 50, find the displacement function s(t).
c) When will the velocity be zero?

d) Find the distance the particle travels on [0, 4].

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