Question

Two balls of different masses are thrown vertically upwards with the same speed. They pass through the point of projection in their downward motion with the same speed (Neglect air resistance). Is it possible?

Answer 1

(1) Let us consider the two balls are thrown vertically upwards with the same speed $u$ .

(2) Final speed $v$ at the point of projection is,
$v^2-u^2=2\times g\times s$

(3) As there is no air resistance motion will be free.

(4) Neglect air resistance,

(5) Where displacement $s=0,$ as the balls return to their initial positions.

(6) $\therefore v=u$ for both the cases because gravitational force is constant for both and also not dependent on mass.
Hence, the given case is possible as the final velocity is independent of mass.