The atmospheric density may be approximated by the relation = 0 exp(-y/), where =

The atmospheric density may be approximated by the relation ρ = ρ₀ exp(-y/β), where β = 22,000 ft. Determine the rate at which the density changes with respect to body falling at v fps. If v = 20,000 fps at 100,000 ft, evaluate the rate of density change.