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WAEC Further Mathematics 2008 Question 37

Question 37

Dynamics

The initial and final velocities of an object of mass 5kg are u = (1, 3) and v = (4, 7) respectively. Find the magnitude of its change in momentum.

  1. A.25
  2. B.15
  3. C.3√7
  4. D.√10
Show the answer and explanation

Answer: A (25)

Explanation

Change in velocity = (3, 4), so change in momentum = 5(3, 4) = (15, 20). Its magnitude is √(225 + 400) = 25.