Introduction to Classical Mechanics · Problem 1.6

Strategies for solving problems — Morin

Physics — Mechanics · limiting_cases_projectile

Problem

Projectile distance * A person throws a ball (at an angle of her choosing, to achieve the maximum distance) with speed vv from the edge of a cliff of height hh. Assuming that one of the following quantities is the maximum horizontal distance the ball can travel, which one is it? (Don't solve the problem from scratch, just check special cases.) gh2v2,v2g,v2hg,v2g1+2ghv2,v2g(1+2ghv2),v2/g1−2ghv2.\frac{gh^2}{v^2}, \quad \frac{v^2}{g}, \quad \sqrt{\frac{v^2 h}{g}}, \quad \frac{v^2}{g}\sqrt{1 + \frac{2gh}{v^2}}, \quad \frac{v^2}{g}\left(1 + \frac{2gh}{v^2}\right), \quad \frac{v^2/g}{1 - \frac{2gh}{v^2}}.

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