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WAEC Further Mathematics 2010 Question 37

Question 37

Dynamics

The initial velocity of an object is u = (−5 / 3) ms−1. If the acceleration of the object is a = (3 / −4) ms−2 and it moved for 3 seconds, find the final velocity. (Column vectors are written top / bottom.)

  1. A.(−14 / 15) ms−1
  2. B.(−2 / 1) ms−1
  3. C.(4 / −9) ms−1
  4. D.(14 / −9) ms−1
Show the answer and explanation

Answer: C ((4 / −9) ms−1)

Explanation

v = u + at = (−5 / 3) + 3(3 / −4) = (−5 + 9 / 3 − 12) = (4 / −9) ms−1.