Final answer:
The terminal speed for a person falling spread-eagle can be calculated using the formula v = √(2mg/(ρACd)), considering the weight and area of the person facing the fluid. Example calculations can determine the terminal velocity for a skydiver falling spread-eagle.
Step-by-step explanation:
The terminal speed for a person falling spread eagle is given by the formula v = √(2mg/(ρACd)), where v is the terminal velocity, m is the person's weight, ρ is the density of the medium (air), A is the frontal cross-sectional area facing the fluid, and Cd is the drag coefficient. This formula takes into account the weight and area of the person facing the fluid.
For example, a skydiver with a weight of 85 kg falling spread eagle can calculate their terminal velocity using the formula v = √(2 * 9.8 m/s^2 * 85 kg / (1.225 kg/m^3 * 0.7 * 0.85)). Plugging in the values would give the terminal velocity in m/s.
Keywords: terminal speed, spread eagle, formula, person's weight, terminal velocity, density, frontal cross-sectional area, drag coefficient, skydiver