ECZ 2010 · O-Level Paper 1 — Travel Graphs

Train A accelerates from rest to 50 m/sin 4 seconds, travels at that speed for 6 seconds, then stops in a further 2 seconds. Train B accelerates from rest to v m/sin 6 seconds then comes to rest in a further 6 seconds. Given that the trains moved the same distance, calculate v.

Diagram for ECZ 2010 · O-Level Paper 1
  • A. 50
  • B. 60
  • C. 100
  • D. 75

Verified working — step 1

Train A covers (12)(4)(50) + 6(50) + (12)(2)(50) = 100 + 300 + 50 = 450 m. Train B forms a triangle of base 12 and height v, so its distance is (12)(12)(v) = 6v. Setting 6v = 450 gives v = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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