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The coordinates of a moving particle at ...

The coordinates 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 t is given by , where the letters have their usual meanings

A

`3tsqrt(alpha^2+beta^2)`

B

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

C

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

D

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

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