Perpendicular projectiles

Two particles move in a uniform gravitational field with an acceleration \(g\). At the initial moment the particles were located at one point and moved with velocities \(v_1 =3 \text{ m/s}\) and \(v_2 =4 \text{ m/s}\) horizontally in opposite directions.

Find the distance between the particles at the moment when their velocity vectors become mutually perpendicular

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