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The coordinates of a body moving in a pl...

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

Text Solution

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`x=alphat^(2)rArrv_(x)=(dx)/(dt)=2alphat`
`y = betat^(2).rArr v_(y)=(dy)/(dt)=2betat`
`:."velocity" v = sqrt((2alphat)^(2)+(2betat)^(2))`
`=2tsqrt(alpha^(2)+beta^(2))`
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