The acceleration of a car s after starting from rest is (75+10t-t2)/20 until the instant when this expression vanishes. After this instant the speed remains constant.  A.Find the maximum acceleration B. Time taken to attain the greatest speed C.The greatest speed.

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Chapter1: The Study Of Motion
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Problem 24P: . Initially staionary, a train has a constant acceleration of 0.5 m/s2. (a) What is its speed after...
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The acceleration of a car s after starting from rest is (75+10t-t2)/20 until the instant when this expression vanishes. After this instant the speed remains constant. 

A.Find the maximum acceleration

B. Time taken to attain the greatest speed

C.The greatest speed. 

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