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# Three particles start from the origin at the same time,one with a velocity u1       along x axis,the second along the y axis with a velocity u2 and the third along the x=y line.the velocity of the third so that the three may lie on the same line is??

Asked by Sunita 5th June 2019, 1:38 PM
Let at instant of time t, particle Q has moved u1t m along x-axis and partcle P has moved u2t m along y-axis.

The line joining P and Q is   .............................(1)

particle R is moving along the line,      y = x .....................(2)

if P, Q and R are in line at time t, then coordinate of R is the point of intersection of eqn.(1) and eqn.(2)

we get point of intersection as,
Hence displacement OR at time t = √2 α t

Hence velocity of particle-R = √2 α =

Answered by Expert 5th June 2019, 9:32 PM
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Tags: velocity