Two particles A and B are moving with constant velocities v1 and v2- At t - 0- v1 makes an angle -1 with the line joining A and B and v2 makes an angle -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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Standard XII

Physics

Bouncing Ball Example

Two particles...

Question

Two particles $A$ and $B$ are moving with constant velocities $v_{1}$ and $v_{2}$ . At t = 0, $v_{1}$ makes an angle $θ_{1}$ with the line joining $A$ and $B$ and $v_{2}$ makes an angle $θ_{2}$ 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 $t = 0$

\frac{4 d}{v_{1} cos θ_{1} + v_{2} cos θ_{2}}

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\frac{d}{v_{1} cos θ_{1} + v_{2} cos θ_{2}}

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\frac{2 d}{v_{1} cos θ_{1} + v_{2} cos θ_{2}}

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\frac{3 d}{v_{1} cos θ_{1} + v_{2} cos θ_{2}}

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