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# Differentiation and Its Applications Questions and Answers

The displacement s metres of a particle moving along a straight line after t seconds is given by s = 3t + (3)/(2)t^2 – 2t^3
a).Find the initial acceleration.
b).Calculate:
i).The time when the particle was momentarily at rest.
ii). Its displacement by the time it comes to rest momentarily.
c).Calculate the maximum speed attained.

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