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A body starting from rest moves along a ...

A body starting from rest moves along a straight line with a constant acceleration. The variation of speed (v) with distance (s) is represented by the graph

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
`x =alphat^(3), y=betat^(3)`
`(dx)/(dt)=3alphat^(2):. V_(x) =3alphat^(2)`
Resultant velocity v=`sqrt(v_(x)^(2)+v_(y)^(2))=3t^(2)sqrt(alpha^(2)+beta^(2))`
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