A particle moves according to the law of motion s = t³ - 8t2 + 3t, t ≥ 0, where t is measured in seconds and s in feet. (a) Find

Question

A particle moves according to the law of motion
s = t³ - 8t2 + 3t, t ≥ 0,
where t is measured in seconds and s in feet.
(a) Find the average velocity over the interval [1,2]
(b) Find the velocity at time t.
(c) What is the velocity after 3 seconds?
(d) What is the acceleration after 7 seconds?
(e) Fort > 0, when is the particle moving in the positive direction?

Kunduz · Accepted Answer

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