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The acceleration of gravity near the earth's surface is 9.8 meters/sec2 or 32.2 ft/sec2. That's it. That's the acceleration of any falling body, whether dropped from your hand or from the roof of a tall building. Knowing the acceleration and the height from which the object fell, it's easy to calculate how much time it takes the object to hit the ground. The time is t = sqr-root of (2H/g). H = the height, g = acceleration of gravity. No properties of the object appear in this formula. None of this discussion has anything to do with the mass, weight, shape, or composition of the object. They don't make any difference. If gravity is the only force on the object, then all objects fall at the same rate, and hit the ground at the same time if dropped from the same height.

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Q: How can you mathematically prove that two objects hit the ground at the same time?
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Related questions

Do heavy objects fall to the ground before light objects?

No, they fall at the same time.


Why do dropped objects of different masses reach the ground at the same time in air?

Because of gravity, objects fall at 9.7m/s making them reach the ground at the same time. This does not apply to objects like paper or feathers due to the fluid friction in the air.


Does the mass effect the time taken for objects rolling down a slope?

Galileo dropped two different sized objects from the tower of Pisa and they both hit the ground at the same time. The object was to prove that the size/weight (i.e. mass) of the object would not affect the rate of fall.


PurposeDo all objects fall to the ground at the same?

no, I don't think so


What is the map scale?

it tells the distance between objects on the map and objects on the ground, e.g. 1:50,000 means 1 inch on the map is the same as 50,000 inches on the ground


When two objects fall the same distance which reaches the ground first the greater or lesser mass?

same


Do all objects fall to the Ground at the same rate?

They do if the only force acting on them is gravity. If there's any difference in the way two different objects fall, it's the effect of air resistance. If it were only up to gravity alone, then all objects would fall to the ground with the same acceleration. They would have the same speed after the same amount of time, and if they're dropped together, they would hit the ground at the same exact time.


Why do 2 objects of different masses dropped from the same height hit the ground at the same time?

Most likely because they're the same weight. Objects can have completely different masses and have the same weight.


What famous experiment did Galileo conduct and what did prove?

Leaning Tower of Pisa,' proves objects fall at same speed and acceleration'


Is it possible for light objects to fall first than heavy objects?

All objects will reach the ground when dropped or when they fall at approximately the exact same time except for paper.


Which item will drop faster?

objects dropped exactly at the same moment will hit the ground (on earth) at exactly the same moment.


How do falling objects behave?

Falling objects behave in such a way that heavier objects will fall faster than the lighter ones. Try to drop a stone and a feather from the same height and at the same time, the stone will fall to the ground first.