Two balls of different masses (one lighter and other heaver) are thrown vertically upwards with the same speed. Which one will pass through the point of projection in the downward direction with greater speed?

Explanation

Let (u) be the initial velocity of projection of body and (v) be the velocity of the same body while passing downwards through point of projection. The displacement of body ` S=0`. Using the relation ` v^(2) =u^(2) + 2 aS`,
and `u=u, =? , =- g, S=0`, we have
` v^(2) =u^(2) + 2 (-g) xx 0 = u^(2) or `v=u`
It means the final speed is independent of mass of the body. Hecnec, bothe the bodies will acquire the same speed while passing through point of projection.