Two particles are simultaneously projected in opposite directions horizontally from a given point in space,where gravity $g$ is uniform. If $u_1$ and $u_2$ are their initial speeds,then the time $t$ after which their velocities are mutually perpendicular is given by
- A$\frac{\sqrt{u_1 u_2}}{g}$
- B$\frac{\sqrt{u_1^2+u_2^2}}{g}$
- C$\frac{\sqrt{u_1(u_1+u_2)}}{g}$
- D$\frac{\sqrt{u_2(u_1+u_2)}}{g}$
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