1.

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 isA. VariableB. `sqrt((2alpha)/beta)`C. `alpha/(2beta)`D. `sqrt(alpha/(2beta))`

Answer» Correct Answer - 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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