Please Show All Work!! A fortress under siege uses a catapult to strike at enemy

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Please Show All Work!!

A fortress under siege uses a catapult to strike at enemy archers. The catapult is L = 19 meters inside the fortress wall. The target is D = 84 meters outside the fortress wall, at the same height as the launch point of the catapult. The fortress wall is H = 14 meters above the launch point of the catapult. The catapult launches a boulder which just barely clears the fortress wall and hits the target. Ignoring air resistance, what is the speed at which the boulder was launched from the catapult? The boulder was launched with an initial speed of

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