# 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 accelerationB. Time taken to attain the greatest speedC.The greatest speed.

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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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Step 1

(A) The acceleration of the car is maximum, when its derivative is zero.

Write the expression for the expression for derivative of acceleration

Step 2

Substitute the value of time in the given acceleration expression

Step 3

When the car attains a maximum speed, its acceleration is...

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