Drag force
Drag force is a resistive force that acts opposite to the direction of an object’s motion through a fluid (such as air or water).
Unlike (kinetic) friction, which is often modeled as roughly independent of speed, drag force increases with velocity.
Drag force arises from two main factors:
The drag force, $F_d$, can be modeled using different equations depending on the velocity of the object:
At low speeds, drag force is often proportional to velocity:
$$\vec{F}_d = -k\vec{v}$$
where $k$ is a constant that depends on the shape and size of the object and the properties of the fluid.
Drag force increases with velocity, but the relationship depends on the speed: linear for low velocities and quadratic for high velocities.
At higher speeds, drag force is typically proportional to the square of the velocity:
$$F_d = kv^2$$
or in vector form:
$$\vec{F}_d = -kv\vec{v}$$
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