1.

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

Answer» `x=alpha t^(2)rArr v_(x)=dx/dt=2alphat`
`y=beta t^(2)rArr v_(y)=dy/dt=2betat`
`:.` speed `v=sqrt(v_(x)^(2)+v_(y)^(2))=2tsqrt(alpha^(2)+beta^(2))`


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