F = ½·C_d·ρ·A·v² · air resistance

Drag grows with the square of speed — moving twice as fast gives four times the drag. Air density ρ ≈ 1.29 kg/m³. A streamlined shape (low C_d) strongly reduces the drag force.
The aerodynamic drag force slows a body moving through a fluid (air, water):
where is the drag coefficient (shape-dependent), is the density of the medium (air ≈ 1.29 kg/m³), is the cross-sectional area, and is the speed.
The key feature is the dependence on the square of the speed: driving twice as fast means four times the drag (and sharply rising fuel use). A streamlined shape (low ) drastically reduces drag — a droplet has , whereas a flat plate reaches .
Because a faster-moving body "meets" more air in the same time and imparts a greater speed to it — the energy dissipated grows in proportion to v². Hence the v² in the formula.
A dimensionless measure of how "streamlined" a shape is. The smaller it is, the smoother the flow and the lower the drag. A droplet has about 0.04, a car ~0.3, a parachute ~1.3.
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