WAEC 2018 · Paper 2 · Q8

  1. (a)

    A motorist is moving along a straight road with uniform acceleration. The motorist passes a village XX with a velocity of 8 m s−18\text{ m s}^{-1} and another village ZZ with a velocity of 13 m s−113\text{ m s}^{-1}. The distance between XX and ZZ is 2700 m2700\text{ m}. If village YY is the midpoint of the distance between XX and ZZ, find, correct to the nearest whole number, the time taken by the motorist to move from XX to ZZ.

Worked solution (try it first)
  1. With uniform acceleration, distance = average velocity × time.
  2. 2700=8+132t=10.5t2700 = \dfrac{8 + 13}{2}t = 10.5t.
  3. t=270010.5≈257.14t = \dfrac{2700}{10.5} \approx 257.14, so about 257 s257\text{ s}.

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