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Two balls $A$ and $B$ are thrown with same velocity $u$ from the top of a tower. Ball $A$ is thrown vertically upwards and the ball $B$ is thrown vertically downwards.Choose the correct statement
Ball $B$ reaches the ground with greater velocity
Ball $A$ reaches the ground with greater velocity
Both the balls reach the ground with same velocity
Cannot be interpreted
Solution
The direction of motion while touching the ground will be vertically downwards, Now coming to the speed, Speed is nothing but a reflection of Kinetic energy of a body, More the kinetic energy more the speed. Taking the $ball-earth$ system, Mechanical energy is conserved,
Gain in Kinetic energy $=$ loss in potential energy
And as both the balls are at same height, Irrespective of the initial direction of throw, Both will lose same potential energy and gain the same Kinetic energy, Hence having the same velocity when they are near the ground.
option $C$ is the correct answer