InterviewSolution
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InterviewSolution
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Two particles `A and B` are moving with constant velocities `v_1 and v_2`. At `t = 0`, `v_1` makes an angle `theta_0` with the line joining `A and B and v_2` makes an angle `theta_2` with the line joining `A and B`. (a) Find the condition for `A and B` to collide. (b) Find the time after which `A and B` will collide if separation between them is `d at t = 0`. . |
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Answer» (a) For `A and B` to collide, their relative velocity must be directed along the line joining them. Therefore their relative velocity along the perpendicular to this line must be zero. Thus `v_1 sin theta_1 = v_2 sin theta_2`. (b) `v_(A P P) = v_1 cos theta_1 + v_2 cos theta_2` `t = (d)/(v_(a P P)) = (d)/(v_1 cos theta_1 + v_2 cos theta_2)`. |
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