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The position of a particle moving on a s...

The position of a particle moving on a straight line is proportional to the cube of the time elapsed. How does the acceleration of the particle depend on time elapsed?

A

`a prop t^2`

B

`a prop 2t`

C

`a prop t^3`

D

`a prop 6t`

Text Solution

Verified by Experts

The correct Answer is:
D
`x prop t^3`
`v = (dx)/(dt) prop 3t^2`
`a = (dv)/(dt) prop 6t`
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