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# Free Fall: How Bodies Fall Downwards Due to Gravity

## Important Formula

What do the formula symbols mean?

## Gravitational acceleration

Unit
On earth it has approximately the value $$g = 9.8 \, \frac{\mathrm{m}}{\mathrm{s}^2}$$. On Jupiter this acceleration of a body towards Jupiter would be larger, because Jupiter has a much larger mass.

## Gravitational force

Unit
It is the force that pulls all bodies to the ground.

## Mass

Unit
Mass of the body on which the gravitational force is exerted.

Free fall is a motion in which a body with mass $$\class{brown}{m}$$ is only subject to the influence of the gravitational force $$F_{\text g}$$. No other forces, such as those due to air resistance or buoyancy, are acting. In free fall, a body experiences only the gravitational acceleration $$g$$, which accelerates the body towards the ground.

## Free fall with air resistance

Without air resistance, the body would accelerate continuously until it hits the ground. The air resistance results in a constant final speed during free fall.

When the body falls, its speed increases. However, as the speed increases, the force $$F_{\text s}$$, which is caused by air resistance and slows the body down, also increases:

As soon as the force of air resistance and the opposing falling force $$F_{\text g} = m \, g$$ add up to zero, a balance of forces is established:

Anders ausgedrückt: Es wirken keine Kräfte auf den Körper mehr, und er fällt mit einer konstanten Geschwindigkeit $$v$$ zu Boden, die aus der Fallkraft $$m\,g$$ sowie 4 und 4 berechnet werden kann: