WAEC 2012 Physics · Question 19

A bird flies at 10ms−1^{-1} for 3s, 15ms−1^{-1} for 3s and 20 ms−1^{-1} for 4s. Calculate the bird's average speed

Options

  1. A.4.5 ms−1ms^{-1}
  2. B.15.0 ms−1ms^{-1}
  3. C.15.5 ms−1ms^{-1}
  4. D.51.7 ms−1ms^{-1}

Answer: C. 15.5 ms−1ms^{-1}

Explanation written with AI and checked against the answer key

Analyze the question: The bird flies at three different speeds for three different time intervals. Average speed = total distance ÷ total time.

Concept: When the time spent at each speed is different, you can't just average the speeds (10 + 15 + 20)/3. You must find the distance for each stage first (distance = speed × time).

Solution:

  • Stage 1: 10 × 3 = 30 m
  • Stage 2: 15 × 3 = 45 m
  • Stage 3: 20 × 4 = 80 m

Total distance = 30 + 45 + 80 = 155 m

Total time = 3 + 3 + 4 = 10 s

Average speed = 155 ÷ 10 = 15.5 m/s

Tip: Average speed is always total distance ÷ total time. Never average the speeds directly unless the times are equal. Here the simple average (15 m/s) is a trap (option B) because the bird spent more time at the highest speed of 20 m/s, so the true average is a bit higher.

AI can make mistakes. Report anything that looks wrong.

Past questions © the examination body (JAMB/WAEC/NECO). DeeepSolve is not affiliated with them. Rights holders: see /copyright.