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A particle starts from the origin of coo...

A particle starts from the origin of coordinates at time t = 0 and moves in the xy plane with a constant acceleration `alpha` in the y-direction. Its equation of motion is `y= betax^2`. Its velocity component in the x-direction is

A

Variable

B

`sqrt((2alpha)/beta)`

C

`alpha/(2beta)`

D

`sqrt(alpha/(2beta))`

Text Solution

Verified by Experts

The correct Answer is:
D
`y=betax^(2)`
`rArrV_(y)=2xbetaV_(x)rArr V_(y)=2betaV_(x)rArr alphat=2betat.V_(x)^(2)`
`rArrV_(x)^(2)=alpha/(2beta)rArrV_(x)=sqrt(alpha/(2beta))`
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