如何计算Free Fall
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Free fall is the motion of an object falling solely under gravity, with no air resistance. Near Earth's surface, all objects accelerate at g = 9.81 m/s² regardless of mass — a fact Galileo demonstrated and Einstein explained through general relativity.
分步指南
- 1Velocity at time t: v = g × t (starting from rest)
- 2Distance fallen: d = ½ × g × t²
- 3Time to fall distance d: t = √(2d / g)
- 4Velocity after falling height h: v = √(2gh)
例题解析
输入
Object dropped from 45m
结果
3.03 seconds · velocity 29.7 m/s (107 km/h)
t=√(2×45/9.81)=3.03s; v=9.81×3.03=29.7
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