A ball is thrown with initial velocity 10 m/s at an angle of \(60^\circ \) to the horizontal. It strikes a vertical wall moving toward it with a velocity of \(10\text{ m/s}\) and bounces (elastically) to the point from where it was thrown.

Determine the time \(t\) (in seconds) from beginning of motion to the time that it strikes the wall.

**Assumptions and Details**

- \(g=\SI[per-mode=symbol]{9.81}{\meter\per\second\squared}.\)

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