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A skydiver weighing (75 + x) kg jumps from an airplane at an altitude of (10 000 + 100y) feetand deploys his parachute after 60 s of free fall, where x and y are the 3d and 4th digits ofyour URN. Assume the air resistance is proportional to the velocity of the skydiver, wherethe coefficient of air resistance ki = 15 when the parachute is closed and k2 = 105 when theparachute is open. (a) Find the expression of the descending velocity, v(t), of the parachutist before andafter deploying the parachute.[8] (b) Describe the motion of the sky diver and determine the altitude at which theparachute deploys.[6] (c) How long does it take for the parachutist to land? State any assumptions.[8] (d) Will the parachutist survive the fall if the parachute is deployed after 120 s?[3]

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