In a collinear collision, a particle with an initial speed \( v_{0} \) strikes a stationary part...

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In a collinear collision, a particle with an initial speed \( v_{0} \) strikes a stationary particle of the same mass. If the final total kinetic energy is \( 50 \% \) greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is
(1) \( \frac{v_{0}}{\sqrt{2}} \)
(2) \( \frac{v_{0}}{4} \)
(3) \( \sqrt{2} v_{0} \)
(4) \( \frac{v_{0}}{2} \)
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