1.

The co-ordinates of a moving particle at any time 't' are given by x = alphat^(3) and y = betat^(3). The speed of the particle at time Y is given by :

Answer»

`sqrt(alpha^(2) + beta^(2))`
`3tsqrt(alpha^(2) + beta^(2))`
`3T^(2)sqrt(alpha^(2) + beta^(2))`
`t^(2)sqrt(alpha^(2) + beta^(2))`

SOLUTION :Here `v_(x)=dx/dt=3alphat^(2)`
`v_(y)=(DY)/(dt)=3betat^(2)`
`:.|V|=sqrt(v_(x)^(2) + v_(y)^(2))`
`=3t^(2)sqrt(alpha^(2)+beta^(2))`


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