Altitude Temperature Pressure Okm 290K 101500Pa 10km 215K 25988Pa 20km 218K 5368 30km 230K 1168Pa These given altitudes correspond to starts and ends of atmospheric layers. Assume that the tem- perature varies linearly in each layer. The skydiver's freefall descent is quasi-steady, so that the drag force always balances the weight. The magnitude of the drag force is D= p² ACD, where v is the skydiver's speed, A = 1.0m² is the reference area, and Cp = 0.4 is the drag coefficient. Note that the density, p, varies with altitude, h. Assume acceleration due to gravity, 9 = 9.8m/s², remains constant, and that air is a perfect gas with gas constant R = 287J/kg.K. The skydiver remains in freefall until an altitude of 3km, at which point the parachute opens. a) The skydiver is at an altitude h in a layer whose starting temperature and pressure are To and Po, and whose constant temperature gradient is a. Show that the velocity is 이 v(h) = -C To Determine C and b as formulas in terms of the given variables. b) Show that within one layer, the time taken by the skydiver to fall from altitude h₂ to an altitude h₁ is 1-b Δε To Ca(1-b) 'T(h₂) To (T(h₁)\ To c) Using the given numerical values, determine the time spent in each layer and the total time of freefall.