Refer to the graphs fig. 2 (EP).5 Match the following.
Graph Characteristic
(a) (i) has ` vgt and a lt o` throughout.
(b) (ii) has ` xgt 0` throughout and has a point with ` v=0` and a point with `a=0`.
(c ) (ii) has a point with zero displacement for ` tgt 0`.
(d) (iv) has ` v lt and a gt 0`.

Explanation

For graph (a),

x is positive `(xgt0)` throughout and at `B, v=(dx)/(dt)=0`
and at C, the curvature of the curve change i.e., a =0 so b `rarr` ii
For graph (c )

Slope `v=(dx)/(dt)` is negative `(vlt0)`, the curvature in x-t graph indicates that negative velocity is decreasing with i.e. `agt0` so c `rarr` iv.
For graph (d)

slope `(dx)/(dt)=` v is positive `(Vgt0)` , and x-t graph says that positive velocity is decreasing with time, i.e., `a lt0` so d `rarr` (i).