Question

A person standing on a vertical cliff a height h above the lake wants to jump into the lake but notices a rock just at the surface level with its furthest edge a distance s from the shore .The person realizes that with a running start it will be possible to just clear the rock, so the person steps back from the edge a distance d and starting from the rest ,runs at an acceleration that varies in time according to ax=b1t and then leaves the cliff horizontally. The person just clears the rock.
Find s in terms of the given quantities d ,b1,h,and acceleration due to gravity g.You may neglect all air resistance.

Answer 1

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