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A projectile is thrown from a point O on...

A projectile is thrown from a point O on the ground at an angle `45^0` from the vertical and with a speed `5 sqrt(2) m/s`. The projectile at highest point of its tracjectory splits into two equal parts. One part falls vertically down to the ground 0.5s after the splitting. The other part t seconds after the splitting falls to the ground at a distance x meters from the point O. The acceleration due to gravity `g = 10 m/s^2`. The value of t is

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