A man standing on- the roof of a house of height h throws one particle vertically downwards and another particle horizontally with the same velocity u. The ratio of their velocities when they reach the earth's surface will be

When particle is thrown in vertical downward direction with velocity u, then the final velocity at the ground level isv2=u2+2gh∴ v=u2+2ghAnother particle is thrown horizontally with same velocity then at the surface of earth.Horizontal component of velocity vx=uTherefore, resultant velocity,v=u2+2ghFor both the particles, final velocities when they reach the earth's surface are equal.