Motion of a particle is governed by following relations `y=x/alpha,V_(x)=b-ct.(a,b,c are + ve "const")`
The displacement `(S)` verson from `(t)` graph os

Options

A.
B.
C.
D.

Answer

D

Explanation

`y=x/alpha,V_(x)=b-ct,y=x/alpha.rArrx=bt-1/2ct^(2)`
`s=sqrt(x^(2)+y^(2))=sqrt(x^(2)+x^(2)/alpha^(2)),xsqrt(a+a/a^(2))`
`S=sqrt(1+1/a^(2))(bt-1/2ct^(2))`
`=kbt-(kc)/2.t^(2)(k=sqrt(1+1/alpha^(2)))`
Parabolic curve