An acrobat of mass 'm' slides down a vertical rope of height 'h'. for the first three-quarters of her descent she grips the rope with her hands and legs so as to produce a frictional force equal to five-ninths of her weight. She then tightens her grip so that she comes to rest at the bottom of the rope. Sketch a (t, v) graph to illustrate her descent ,Find the frictional force she must produce in the last quarter. If the rope is 60 m high, calculate (a) Her greatest speed
(b) the time she takes to descend.

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