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What maximum height above the point from which it was fired is reached by the weight?

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Question

Suppose that you are designing a mortar to launch a rescue line from coast guard vessels to ships in distress. The light line is attached to a weight fired by the mortar. Neglect aerodynamic drag and the weight of the line for your preliminary analysis. If you want the line to be able to reach a ship 300 ft away when the mortar is fired at 45degrees above the horizontal, what muzzle velocity is required? What maximum height above the point from which it was fired is reached by the weight?

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Step 1 To Determine, the muzzle velocity required to fire at 45 degrees above the horizontal.

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