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Q. The relative velocity $v_{B A}$ or $v_{A B}$ is zero for two particles moving along $X$-axis uniformly. The position-time graph for this situation will be

Motion in a Straight Line

Solution:

If $v_{B A}$ or $v_{A B}$ is zero, then $v_{A}=v_{B}$ as
$v_{A B}=v_{B A}=\left|v_{A}-v_{B}\right| $.
For uniform motion, the position-time graph will be straight lines parallel to each other and inclined to time axis as shown below for given situation.

Solution Image