Velocity `(v)` versus displacement (s) graph of a particle moving in a straight line is shown in figure. Corresponding acceleration (a) versus velocity (v) graph will be

Options

A.
B.
C.
D.

Answer

A

Explanation

From the given graph relation between velocity (V) and displacement (S) is given by
v=S
`(dv)/(dS)=1`
Hence, acceleration `a=v(dv)/(dS)`
a=v x1
a=v
Therefore, graph between acceleration
and velocity will be as shown.