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Question

Two particle A and B are located in x-y plane at points (0, 0) and (0, 4 m). They simultaneously start moving with velocities. VA=2^j m/s and VB=2^i m/s. Select the correct alternative(s).

A
The distance between them is constant
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B
The distance between them first decreases and then increases
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C
The shortest distance between them is 22m
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D
Time after which they are at minimum distance is 1s
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Solution

The correct options are
B The distance between them first decreases and then increases
C The shortest distance between them is 22m
D Time after which they are at minimum distance is 1s
VAB=VAVB=2(ij)|VAB|=22.
Assuming B to be at rest, A will move with velocity VAB in the direction shown in figure. The distance between them will first decrease from A to C and then increase beyond C.
Minimum distance between them is BC which is equal to 42 or 22 and the time after which they are at closest distance is :
t=ACVAB=2222=1second.
134189_72267_ans.jpg

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