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The displacement of a body is proportico...

The displacement of a body is proporticonal to the cube of time elapsed. What is the nature of the acceleration of the body ?

A

`t^(4)`

B

`t^(3)`

C

`t^(2)`

D

`t`

Text Solution

Verified by Experts

The correct Answer is:
D
Suppose the particle starts from origin at `t=0` . Then at any time `t`,
`x prop t^(3)`
`x=kt^(3)(K=`constant`)`
`v=(dx)/(dt)=2kt^(2)`
`a=(dv)/(dt)=6kt`
`a prop t`.
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