Three particles start from the origin at the same time, the first with a velocity of 2 m/s along the positive x -axis, the second with a velocity of 6 m/s along the negative y -axis. Find the velocity

Question

Three particles start from the origin at the same time, the first with a velocity of 2 m/s along the positive x -axis, the second with a velocity of 6 m/s along the negative y -axis. Find the velocity of the third particle along the x = y line so that the three particles may always lie in a straight line:

TestHub · Accepted Answer

The line through ( 2 t , 0 ) and ( 0 , − 6 t ) is 3 x − y = 6 t . A point ( v t / 2 ​ , v t / 2 ​ ) lies on it when 2 v t / 2 ​ = 6 t , giving v = 3 2 ​ m/s. Option B.

Physics - Kinematics Question with Solution | TestHub

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