Refer to the graph in figure. Match the following

Options

A.
B.
C.
D.

Explanation

We have to analyse slope of each curve i.e., `(dx)/(dt)` For peak points `(dx)/(dt)` will be zero as x is maximum at peak points.
For graph(a), there is a point (B) for which displacment is zero. So, a matches with (iii) in graph (b) , x is positive `(gt 0)` throughout and at point B, `V = (dx)/(dt) = 0`.
since, at point of curvature changes `a = 0`, So b matches with (ii)
In graph (c), slope `V = (dx)/(dt)` is negative hence, velocity will be negative.
so matches with (iv)
In graph (d), as slope `V = (dx)/(dt)` is negative hence, `V gt 0`
Hence, d matches with (i)