Question

The ratio of maximum heights reached by two bodies projected vertically up is a:b then the ratio of their initial velocities

Answer 1

Answer:

The initial kinetic energy of each is (1/2) m v2 and it becomes converted to zero velocity at the peak, at height h such that the potential energy is

m g h = (1/2) m v2.

Thus, the heights are proportional to the square of the velocity and the velocity is proportional to the square root of the height, sqrt (a/b).