Vt=(2mg/ρACd)^0.5
Where:
- Vt is the terminal velocity,
- m is the mass of the falling object,
- g is the acceleration due to gravity,
- ρ is the density of the fluid (air),
- A is the cross-sectional area of the object,
- Cd is the drag coefficient.
Real Life Examples:
- Skydiving: When a skydiver jumps out of an airplane, they initially accelerate due to gravity. However, as they fall, the air resistance (drag) acting in the opposite direction increases until it equals the force of gravity. At this point, the skydiver reaches terminal velocity, and their speed remains constant.
- Falling Objects: Any object falling through the atmosphere, such as a piece of paper or a feather, will eventually reach terminal velocity. For smaller and less dense objects, terminal velocity is reached quickly due to their high drag relative to their mass.
- Base Jumping: Similar to skydiving, base jumpers experience terminal velocity during their free fall from fixed objects like cliffs, bridges, or buildings.