1.

The coordinates of a body moving in a plane at any instant of time are x= alphat^(2)= and y=betat^(2). The velocity of theboyd is

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SOLUTION :`x= alphat^(2) rArr v_(x)=(dx)/(DT)=2alphat`
`y= beta t^(2) rArr v_(y)=(dy)/(dt)=2betya`
`:. velocity V= sqrt(v_(x)^(2)+v_(y)^(2)) rArr sqrt((2 alpha t)^(2)+( 2 beta t)^(2))`
`=2t sqrt(alpha^(2)+beta^(2))`


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