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Derive an expression to estimate the distance L attainable in the long jump, in terms of the approach velocity V

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Derive an expression to estimate the distance L attainable in the long jump, in terms of the approach velocity V. Neglect air drag and assume that planting the foot at the beginning of the jump does not generate a vertical force but rather produces the optimal angle for takeoff. Find L for V = 10 m/s. (Note: you will have to determine the optimum angle.)