The coordinates of a moving particle at ...

The coordinates of a moving particle at any time t are given by `x = at ^(3) and y = bt ^(3).` The speed of the particle at time t is given by

A

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

B

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

C

`t^(2) sqrt(alpha^(2)+beta^(2))`

D

`sqrt(alpha^(2)+beta^(2))`

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The correct Answer is:

B

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