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hi2u

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**Components / Vectors Problem**

## Homework Statement

3. During the Civil War, Rear Admiral David Porter (a Boston

native) is ordered to steam his fleet of river-gunboats to

Vicksburg, Mississippi. He stops in the Yazoo River a distance d =

800 m from the town of Vicksburg, which is situated a height h =

76 m above the level of the river (see figure A). His gunboat

carries a cannon which can fire cannonballs with a velocity of v=

100 m/s. His objective is to destroy a bunker at the top of the

plateau.

[8 points] If the cannonball lands on the bunker when θ = 33.2o

, what is the height h of the plateau?

**2. Homework Equations / Attempts**

I tried drawing a triangle, tried using kinematics, where the upwards initial velocity was cos(33.2)*800, but that didn't work either. I know the correct answer is 76 (which is also ironically in the problem itself), but I'm not sure how to get to that. These are practice problems for a midterm tomorrow, so help is appreciated.

Thanks

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