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A parachutist of mass 75 kg jumps from an helicopter at an altitude of 4000 meters. We suppose an air resistance force proportional to speed, with a constant of proportionality k1=15kg/s before opening the parachute and k2=105kg/s after opening the parachute. By using g=9.81m/s^2, resolve differential equations to prove the parachutist will land in approximately 241.5seconds.
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