Question: A particle is moving in a straight line in such a way that its position at time t (in seconds) is s(t) = t 2

A particle is moving in a straight line in such a way that its position at time t (in seconds) is s(t) = t2 + 3t + 2 feet to the right of a reference point, for t ≥ 0.

(a) What is the velocity of the object when the time is 6 seconds?

(b) Is the object moving toward the reference point when t = 6? Explain your answer.

(c) What is the object’s velocity when the object is 6 feet from the reference point?

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