2003 AMC 8 Problem 24
Attempt Problem 24 of the 2003 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
24.
A ship travels from point to point along a semicircular path, centered at Island Then it travels along a straight path from to Which of these graphs best shows the ship’s distance from Island as it moves along its course?
Answer: B
Small hint:
Along the semicircle, the distance from is constant.
Big hint:
On the straight segment, the ship first gets closer to then farther away.
Solution:
Every point on the semicircular path from to is the same distance from the center so the graph starts horizontally.
On the straight path from to the ship first gets closer to and then farther away from
Only graph starts flat and then decreases before increasing.
Thus, B is the correct answer.
Problem 24 in other years
- 1985 AMC 8
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