Depict the shown `v -x` graph `a - x` graph:

Options

A.
B.
C.
D.

Answer

A

Explanation

The given graph can be represented by the equation,
`v = (-(v_(0))/(x_(0))) x + v_(0)`
`:. A = v((dv)/(dx))`
`a = [(-(v_(0))/(x_(0))) x + v_(0)] [- (v_(0))/(x_(0))]`
`a = ((v_(0)^(2))/(x_(0)^(2))) x - [(v_(0)^(2))/(x_(0))]`
which is equation of a straight line with positive slope and negative intercept.