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Two particles are moving with constant s...

Two particles are moving with constant speed `v` such that they are always at a constant distance `d` apart and their velocities are always equal and opposite. After what time will they return to their initial positions ?

Text Solution

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As the two particles moving with constant speeds are always at a constant distance `d`, they must be at the two ends of diameter of a circular path as shown in Figure. Each particle will return to its initial positon after completing the circular path `= 2pi r = pi d`
`"Time interval" = ("distance")/("speed") = (pi d)/(v)`
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