# The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t)=3t^2−21t, t≥0 Find the velocity and acceleration functions. Over what interval is the particle moving in the positive direction?  Over what interval is the particle moving in the negative direction? Over what interval is the particle speeding up? Slowing down?

Question

The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds.

s(t)=3t^2−21t, t≥0

Find the velocity and acceleration functions.

Over what interval is the particle moving in the positive direction?

Over what interval is the particle moving in the negative direction?

Over what interval is the particle speeding up? Slowing down?

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MathCalculus