JEE Advanced2021PhysicsMotion in Two DimensionsActual
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
Correct answer
0
Step-by-step solution
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 × 2 h g x = u 2 sin 2 θ g × 2 + 10 × 0.5 x = 50 20 + 5 x = 2.5 + 5 x = 7.5   m