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A boat starting from rest aims perpendic...


A boat starting from rest aims perpendicular to the river with an acceleration of `a=6t`
(where `t=` time) the boat starts from `(2,0)` of the coordinate system. Find equation of trajectory. Given velocity of river `=u`.

A

`(x-2)=uy^((2)/(3))`

B

`x-2=uy^((1)/(3))`

C

`x-2=uy^((1)/(3))y`

D

`x-2=u^((2)/(3))y`

Text Solution

Verified by Experts

The correct Answer is:
B

`(dv)/(dt)=6timpliesv=(6t^(2))/(2)=3t^(2)`
`(dy)/(dt)=3t^(2)`
`y=t^(3)`
`(y)^((1)/(3))=((x-2))/(u)`
`uy^((1)/(3))=(x-2)`
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