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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `x = ct^(2)`
`:. v_(x) = (dx)/(dt) = 2ct`
Also, `y = bt^(2)`
`:. V_(y) = (dy)/(dt) = 2bt`
`:. v = sqrt(v_(x)^(2)+v_(y)^(2)) = 2t sqrt(c^(2)+b^(2))`
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