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# two particles P and Q start simultaneously from a point A with velocities 15 m/s and 20 m/s.the accelaration of both the bodies are equal in magnitude but opposite in direction.at point B velocity of P is 30m/s.find d velocity of  Q at point B?(sir if we apply first equation of motion answer is coming 5 m/s,if we apply 3rd equation answer is imaginary,if we solve by average velocity method(because displacement and time both are equal for btoh the bodies) answer is coming 25m/s......which one should we accept?? )

8 years ago

Hi Ayush,

The first thing you must note is that P & Q will not reach point B simultaneously. (As a matter of fact one must verify if Q can reach point B).

At B velocity of P is 30m/s.

You can also check that Q will never reach point B. (When velocity of Q becomes 0, use 3rd law of motion).

You can see that, 0^2 - 20^2 = -2ax

And for P, let displacement is y. So 30^2 - 15^2 = 2ay. See that y>x. Hence Q will never reach the point B.

Regards,