Answered: a) Determine the maximum position…

a) Determine the maximum position occupied by the particle b) Determine the maximum velocity of the particle c) Sketch graphs of the position, velocity, and acceleration as functions of time

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Question

The position of a particle is given by x(t) = 3 + 10t + 4t2 – 12t3, with x in meters
and t in seconds. Assume t>0.

a) Determine the maximum position occupied by the particle
b) Determine the maximum velocity of the particle
c) Sketch graphs of the position, velocity, and acceleration
as functions of time

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