WAEC 2020 Physics · Question 25

A motorcycle starting from rest is uniformly accelerated such that its velocity in 10s is 72kmhr−1^{-1}. What is its acceleration?

Options

  1. A.108ms2^2
  2. B.86ms2^2
  3. C.4ms2^2
  4. D.2ms2^2

Answer: D. 2ms2^2

Explanation written with AI and checked against the answer key

Analyze the question: The motorcycle starts from rest (u = 0), reaches a velocity v = 72 km/h in t = 10 s. We need the acceleration a. Concept: For uniform acceleration, a = (v − u) / t Units must be consistent, so convert km/h to m/s first. Conversion: 72 km/h = 72 × 1000 m / 3600 s = 72 × (5/18) = 20 m/s Solution: a = (20 − 0) / 10 = 2 m/s² Check the options: The options are written as "ms²", but they clearly mean m/s² (ms⁻²). Answer: D (2 m/s²) Tip: To convert km/h to m/s, multiply by 5/18. Many students lose marks by plugging 72 straight into the formula. If you did that, you would get 7.2, which is not an option, a sign that something is wrong. Also, 72 is a handy number because 72 × 5/18 = 20 exactly. Always convert units before substituting.

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