A projectile is thrown from a point O on the ground at an angle 45^ from the vertical and with a speed 5 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 a

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A projectile is thrown from a point O on the ground at an angle 45^ from the vertical and with a speed 5 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 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  x  is ________.

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Correct answer: A. A

So,   x = R 2 + r   Where, R is the range of oblique projectile and r  is the range of horizontal projectile. x = R 2 + 10 &#215; 2 h g x = u 2 sin 2 &#952; g &#215; 2 + 10 &#215; 0.5 x = 50 20 + 5 x = 2.5 + 5 x = 7.5 &#160; m

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