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Question

Two cars A and B of equal masses 100 kg are moving on a straight horizontal road with same velocity 3 m/s. At t= 0 car A starts accelerating with constant acceleration of 2 m/s2 (initial separation between cars is 25m. Choose correct options (neglect length of cars)

A
car A catches car B at t = 6 sec.
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B
total work done of all forces on car B w.r.t. car A is zero in first 2 sec.
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C
car A catch car B at t= 5 sec.
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D
total work done by all forces on car A w.r.t. car B is nonzero in first 2 sec.
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Solution

The correct options are
C car A catch car B at t= 5 sec.
D total work done by all forces on car A w.r.t. car B is nonzero in first 2 sec.
Consider relative motion of A w.r.t. B
a=2m/s2 u=0 s=25m {A w.r.t. B}
s=ut+12at2
25=0+122t2
t=5seconds.
and ΔK.E. of one car w.r.t. other car is not zero in first 2 sec.

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