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The motion of a particle is given by s(t) = 5 t 3 + t 2 + t where position is measured in feet and
The motion of a particle is given by s(t) = 5 t 3 + t 2 + t where position is measured in feet and time in minutes.
(a) Find the velocity and acceleration as functions of t
(b) On what interval is the particle moving backward?
(c) Find the total distance travelled in the first 4 minutes.
(d) When is the particle speeding up?
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