Laws Of Motion

A projectile is thrown from a point O on the ground at an angle 45\(^\circ\) from the vertical and with a speed 5\(\sqrt 2\) m/s. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically down to the ground, 0.5 s after the splitting. The other part, t seconds after splitting, falls to the ground at a distance x meters from the point O. The acceleration due to gravity g = 10 m/s².

The value of x is _______________.