Question

Given $x-t$ graph represent the motion of an object. Match the Column I (parts of graph) with Column II (representation) and select the correct answer from the codes given below.

Column I		Column II
A	Part $OA$ of graph	1	Positive velocity
B	Part $AB$ of graph	2	Object at rest
C	Part $BC$ of graph	3	Negative velocity
D	Point $A$ in the graph	4	Change in direction of motion

• A. $A-(1),B-(2),C-(3),D-(4)$
• B. $A-(1),B-(3),C-(2),D-(4)$
• C. $A-(2),B-(1),C-(3),D-(4)$
• D. $A-(4),B-(3),C-(2),D-(1)$

Answer 1

Answer: (B)

In $x-t$ graph, $OA\to$ Positive slope $\to$ Positive velocity
$AB\to$ Negative slope $\to$ Negative velocity
$BC\to$ Zero slope $\to$ Object at rest

At point $A$, there is a change in sign of velocity, hence the direction of motion must have changed at $A$.
Hence, $A\to 1,B\to 3,C\to 2$ and $D\to 4$.