免费自由落体计算器
计算自由落体运动的时间、速度和距离。
m/s²
s
Distance Fallen
44.15 m
Final Velocity29.43 m/s
Distance Fallen vs Time of Fall
公式
Free Fall Under Gravity
An object released from rest near Earth's surface accelerates uniformly downward.
Formulas
d = (1/2) * g * t²
v_f = g * t
These assume no air resistance and zero initial velocity.
计算示例
A stone is dropped from a tall building and falls for 3 seconds.
- 01d = 0.5 * g * t²
- 02d = 0.5 * 9.81 * 9
- 03d = 44.145 m
- 04v_f = g * t = 9.81 * 3 = 29.43 m/s
常见问题
Does mass affect free fall distance?
No. In the absence of air resistance, all objects fall at the same rate regardless of mass, as demonstrated by Galileo.
What is the value of g on Earth?
The standard gravitational acceleration on Earth is approximately 9.81 m/s², varying slightly by location and altitude.
How does air resistance change things?
Air resistance opposes motion and increases with speed. Eventually the drag force equals gravity, and the object reaches terminal velocity.
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