A sphere is projected horizontally with a speed $v$ from the edge of a table of height $h$ above a level horizontal floor. At the same instant, another sphere is released from the edge of the same table.
Identify which of the following statements is true?

The two spheres will strike the floor at the same time

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The sphere that is dropped will strike the floor first

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The sphere that is launched horizontally will strike the floor first

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The acceleration of the sphere that is dropped is greater than the acceleration of the other sphere after it is launched

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The acceleration of the sphere after it is launched is greater than the acceleration of the sphere that is dropped

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Solution

The correct option is A The two spheres will strike the floor at the same time
Since the only force acting on the both the sphere is the gravitational force of attraction from earth only, the acceleration of both the sphere is $g$ downwards.
Also the velocity of both the sphere initially in the vertical direction is zero,
$h = \frac{1}{2} g t^{2}$
$⟹ t = \sqrt{\frac{2 h}{g}}$ which is same for both the spheres.

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A sphere is projected horizontally with a speed v from the edge of a table of height h above a level horizontal floor. At the same instant, another sphere is released from the edge of the same table. Identify which of the following statements is true?

A sphere is projected horizontally with a speed $v$ from the edge of a table of height $h$ above a level horizontal floor. At the same instant, another sphere is released from the edge of the same table.
Identify which of the following statements is true?