Solution of JEE Advanced 2021 Paper 1  Q 5 & 6

Solution of JEE Advanced 2021 Paper 1 Q 5 & 6

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A projectile is thrown from a point O on the ground at angle 45 from the vertical and with speed 5rt2 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 the splitting, falls to the ground at a distance x meters from the point O. The acceleration due to gravity g = 10 m/s2. Find t and x.