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Answer: Ignoring air resistance, we know that the speed of a free-falling object is given by: change in speed = (accelearation due to gravity) × (time of fall) and that the distance fallen by an object dropped from rest is given by: distance fallen = 1 2 × (accelearation due to gravity) × (time of fall)2 To solve this problem, we only know the distance fallen. From this, we can figure out the time of the fall, and from that we can figure out the change in speed (starting from zero speed, the change in speed will be the final speed). Putting in 1,000 m in for the distance fallen and 10 m/s2 in for the acceleration due to gravity, and calling the time of the free-fall t, we have: 1, 000 m = 1 2 × (10 m/s2) × t2

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14y ago
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14y ago

Without air resistance, raindrops would fall with exactly the same characteristics as rocks ...

their speed would increase 9.8 meters (32.2 feet) for every second of falling.

(Of course, without air, raindrops would instantly evaporate; but you get the idea.)

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Q: If it were not for air resistance how fast would raindrops fall?
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