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When an object, falling from rest, encounters air resistance proportional to the square of its velocity, the velocity it falls with [in meters per second),

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When an object, falling from rest, encounters air resistance proportional to the square of its velocity, the velocity it falls with [in meters per second), after t seconds, is given by: (mg '16:; t = t h t , v( ) A: an m where m is the mass of the object in kilograms, g = 9.8 532 is acceleration due to gravity, and k is a physical constant. A BASE jumper with m = 85 kg leaps from a tall cliff and freefalls for 10 seconds, then opens a parachute. How long does it take for the jumper to reach a speed of 55 $29 Assume that k = 0.2

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