A particle is moving in `x-y` plane with `y=x/2` and `v_(x)=4-2t`. The displacement versus time graph of the particle would be

Options

A.
B.
C.
D.

Answer

C

Explanation

`V_(x)=4-2t`
`x=4t-2t`
`:.y=x/2=2t-(t^(2))/2`
`:.` displacement
`r=sqrt(x^(2)+y^(2))=(sqrt(5))/2(4t-t^(2))`
`:.` (3) is correct graph