A) positive and continuously increasing.
B) negative and continuously increasing
C) positive and continuously decreasing
D) negative and continuously decreasing
Correct Answer: A
Solution :
Initial velocities of A and B are zero. So, initial relative velocity \[=0,\]ie, \[{{u}_{AB}}=0\] from graph. So, \[{{a}_{AB}}={{a}_{A}}-{{a}_{B}}=a=\] positive quantity \[\therefore \] \[{{v}_{AB}}={{u}_{AB}}+{{a}_{AB}}\times t=at,\] which is positive and continuously increasing with time.
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