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Two points P and Q move in same plane su...

Two points `P` and `Q` move in same plane such that the relative acceleration of `P` with respect to `Q` is zero. They are moving such that the distance betweent them is decreasing. Pick the correct statement for `P` and `Q` to collide.

A

The line joining `P` and `Q` should not rotate.

B

The line joining `P` and `Q` should rotate with constant angular speed

C

The line joining `P` and `Q` should rotate with variable angular speed

D

All the above statement are correct.

Text Solution

Verified by Experts

The correct Answer is:
A

`Q` measures accelerated of `P` to be zero.
`:. Q` measures velocity of `P, i.e., vec(v)_(PQ)` to be constant. Hence `Q` observes `P` to move along straight line.
`:. ` For `P` and `Q` to collide `Q` should observe `P` to move along line `PQ`.
Hence `PQ` should not rotate.
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