You are attacking a castle with stone curtain walls rising straight up from the

Question

You are attacking a castle with stone curtain walls rising straight up from the edge of a moat 150 meters wide. The moat is filled with carnivorous swans, and cannot be crossed if the drawbridges are up; you must attack from the far side of the moat. Your archers can shoot arrows at speed 40.0 m/s at any angle of elevation; aerodynamic forces and the heights of the archers themselves are negligible. Calculate the maximum height of the walls at which you can still pick of the defenders perched on top.

Explanation / Answer

maximum height the archers can reach is H = u^2/2g   where u is the velocity

u= 40 m/sec

h = 1600/2*9.8 = 1600/19.6 = 81.63 m

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