WAEC Further Mathematics 2022 Objective — Question 27
Question 27 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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A body of mass 18kg moving with velocity 4ms⁻¹ collides with another body of mass 6kg moving in the opposite direction with velocity 10ms⁻¹. If they stick together after collision, find their common velocity.
- A. −1/2 ms⁻¹
- B. 1/3 ms⁻¹
- C. 2ms⁻¹
- D. 3ms⁻¹
Explanation
By conservation of momentum: 18(4)+6(−10)=(18+6)v, so 72−60=24v, giving v=12/24=½ ms⁻¹. None of the listed options equal ½ ms⁻¹ exactly — the correct computed value is 0.5ms⁻¹.
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