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If the distance travelled by a moving ob...

If the distance travelled by a moving object varies directly as the cube of time, how does the acceleration of the body depend on time?

A

increasing

B

decreasing

C

zero

D

constant

Text Solution

Verified by Experts

The correct Answer is:
A
Given `S prop t ^(3) implies v prop t ^(2) because v = (dS)/(dt).`
`implies a = ( dv )/( dt) prop t. ` Therefore acceleration is increasing.
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