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Achilles is lurking inside a high wall that defends an ancient city. At his loca

ID: 1267197 • Letter: A

Question

Achilles is lurking inside a high wall that defends an ancient city. At his location, it is 10.0 m thick and 25.0 m high. An enemy archer wishes to hit Achilles with his arrow. He can fire his arrows at 50.0 m/s, and he is crouching 27.0 m from the outside of the city wall. The release point of the arrow and its landing height are both at ground level. (a) If Achilles stands up against the inside surface of the wall he will be safe. If he begins to walk away from the wall, at what distance from it will the archer be able to hit him? (b) Xena is inside the city, very far from the wall, and she is also safe. Suppose Xena starts walking toward the wall. At what distance from the inside surface of the wall will she no longer be safe?

Explanation / Answer

The other answer is correct for part (a), but not for part (b).
Also, I'll solve this problem in a slightly different way...

(b)
In order for the arrow to fall as far as possible behind the wall, you will need a starting angle as close as possible to 45

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