Answer and working out

a) (6 marks) When an object, falling from rest, encounters air resistance proportional to the square of its velocity, the distance it falls (in meters), after t seconds, is given by: m k d(t) =1n cosh '_g t , k m Where m is the mass of the object in kilograms, g = 9.8 :n_2 is acceleration due to gravity, and k is a physical constant. A BASE jumper with m = 75 kg leaps from a tall cliff and free-falls for 10 seconds, then opens a parachute. HOW long does it take for the jumper to fall the first 100 meters? Assume that k = 0.2