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A particle is moving along the curve x=a...

A particle is moving along the curve `x=at^(2)+bt+c`. If `ac=b^(2)`, then particle would be moving with uniform

A

rotation

B

velocity

C

acceleration

D

retardation

Text Solution

Verified by Experts

The correct Answer is:
C
Given `x=at^(2)+bt+c`
On differentiating both sides w.r.t `t` we get
`(dx)/(dt)=2at+b`
Again on differentiating both sides w.r.t `t` we get
`(d^(2)x)/(dt^(2))=2a`
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