A particle of mass \( m \) is projected with a speed \( u \) from the
\( \mathrm{P} \) ground at an angle \( \theta=\pi / 3 \) w.r.t. horizontal ( \( x \)-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity u i. The horizontal distance covered by the combined mass before reaching the ground is:
[JEE Main-2020 (January)]
(a) \( \frac{3 \sqrt{3}}{8} \frac{u^{2}}{g} \)
(b) \( 2 \sqrt{2} \frac{\mathrm{u}^{2}}{\mathrm{~g}} \)
(c) \( \frac{5}{8} \frac{\mathrm{u}^{2}}{\mathrm{~g}} \)
(d) \( \frac{3 \sqrt{2}}{4} \frac{u^{2}}{\mathrm{~g}} \)
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