Q. Velocity of a body on reaching the point, from which it was projected upwards, is

 2924  246 AIIMSAIIMS 1999Motion in a Plane Report Error

Solution:

Let the intial velocity of the body
And final velocity at the intial point be .
Now the potential energy of the body at the point of projection is the same in both the upward and the downward journey. Since the total energy of the system has to be conscrved, the kinetic energies at that point must also be the same in both the journeys