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

Explanation

`x = alpha t^(2) rArr v_(x) = (dx)/(d t) = 2 alpha t`
`y = beta t^(2) rArr v_(y) = (dy)/(d t) = 2 beta t`
`therefore` velocity `v = sqrt((v_(x)^(2) + v_(y)^(2))) rArr sqrt((2alpha t)^(2) + (2 beta t)^(2))`
`= 2t sqrt(alpha^(2) + beta^(2))`