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qid 9919 · physics

Question: Two motorcycles are at rest and separated by 24.5 ft. They start at the same time in the same direction, the one in the back having an acceleration of 3 ft/sec^2, the one in the front going slower at an acceleration of 2 ft/sec^2. (a) How long does it take for the faster cycle to overtake the slower, (b)How far does the faster machine go before it catches up? (c) How fast is each cycle going at this time?

  1. (a) 8 sec, (b) 75 ft, (c) 22 ft/sec and 15 ft/sec
  2. (a) 7 sec, (b) 75 ft, (c) 21 ft/sec and 15 ft/sec
  3. (a) 8 sec, (b) 80 ft, (c) 24 ft/sec and 16 ft/sec
  4. (a) 9 sec, (b) 81 ft, (c) 23 ft/sec and 18 ft/sec
  5. (a) 7 sec, (b) 73.5 ft, (c) 21 ft/sec and 14 ft/sec
  6. (a) 6.5 sec, (b) 71 ft, (c) 19.5 ft/sec and 13 ft/sec
  7. (a) 6 sec, (b) 70 ft, (c) 20 ft/sec and 12 ft/sec
  8. (a) 10 sec, (b) 90 ft, (c) 25 ft/sec and 20 ft/sec
  9. (a) 5 sec, (b) 60 ft, (c) 18 ft/sec and 10 ft/sec
  10. (a) 7.5 sec, (b) 78 ft, (c) 22.5 ft/sec and 15 ft/sec

Our answer: E. (a) 7 sec, (b) 73.5 ft, (c) 21 ft/sec and 14 ft/sec Source quote machine-checked (exact quote)

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How it was answered

Multi-step solver (maze), replayed by code

card: maze · card sha256 9b2256ebef7c1ea0…

Current source

Pearson Channels, Physics, "Catch/Overtake Problems Explained"

https://www.pearson.com/channels/physics/learn/patrick/1d-motion-kinematics-new/catch-overtake-problems

“Acceleration affects how the velocity of an object changes over time, which influences when and if one object catches up to another.”

Source quote machine-checked (exact quote)

retrieved 2026-09-18T01:44:34.760Z

page text sha256 b9c98ff5a79e409f… · content sha256 f30d7c0666513f77…

addendum maze_qid9919_b4_maze_input_ADDENDUM_source_rs20260918T014434Z · sha256 078ec8973f293878… · replaces the version below, addendum sha256 3df9cd8f95227e5e…

Earlier version (superseded)

https://openstax.org/books/college-physics-2e/pages/2-5-motion-equations-for-constant-acceleration-in-one-dimension

Source weak (http_get_200_text_and_question_terms)

retrieved 2026-09-17T23:25:12.621Z

page text sha256 2463089ac81f325f… · content sha256

addendum maze_qid9919_b4_maze_input_ADDENDUM_source_bf20260917T232512Z · sha256 3df9cd8f95227e5e… · replaces the version below, addendum sha256 7f26b12b2b23aacb…

Earlier version (superseded)

No public source has been found for this card yet (3 places checked internally).

addendum maze_qid9919_b4_maze_input_ADDENDUM_source · sha256 7f26b12b2b23aacb…

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