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OCW Scholar - Physics I: Classical Mechanics
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You drop two things different masses from the same height which will they hit ground
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Both masses have the same acceleration from gravity. So, if air resistance is neglected, both will hit the ground at the same time. You can also solve this using the equation: \[h=v_{0}t+\frac{ 1 }{ 2 }a t^{2}\] The height, initial velocity (which equals zero), and acceleration are the same for both masses. Thus, time should also be the same for both as well, according to the equation.
Both reaches at the same time because by second motion of equation by NEWTON, time is independent of masses of bodies in gravitational field.
However, in reality, beacause the air resistance exists, they may hit the ground at different time.
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