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The co-ordinates of a moving particle at...

The co-ordinates of a moving particle at any time t are given by `x=ct^(2) and y=bt^(2)`The speed of the particle is

A

`2t (c+b)`

B

`2tsqrt(c^(2)-b^(2))`

C

`tsqrt(c^(2)+b^(2))`

D

`2t sqrt(c^(2)+b^(2))`

Text Solution

Verified by Experts

`V_(x)=dx//dt=2ct, v_(y)=dy//dt=2bt`
`therefore v= sqrt(v_(x)^(2)+v_(y)^(2))=2t`
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