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The reation between the time t and posit...

The reation between the time t and position x for a particle moving on x-axis is given by `t=px^(2)+qx`, where p and q are constants. The relation between velocity v and acceleration a is as

A

`a prop v^(3)`

B

`a prop v^(2)`

C

`a prop v^(4)`

D

`a prop v`

Text Solution

Verified by Experts

The correct Answer is:
A
`(dt)/(dx) = 2px + q`
`rarr v = (dx)/(dt) = (1)/(2px + q)`
`a = (-2p)/((2px + q)^(3)) rarr a prop ((1)/(2px + q))^(3)`
`rArr a prop v^(3)`
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Knowledge Check

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