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The velocity-time graph of a particle in linear motion is shown. Both v and t are in SI units. What is the displacement of the particle from the origin after 8 s?

  1. 6m    
  2. 8m    
  3. 16m    
  4. 18m    

The correct answer is: 6m


    text Displacement: = Area of upper trapezium  end text minus text  Area of lower trapezium end text
    equals fraction numerator 1 over denominator 2 end fraction open parentheses 2 plus 4 close parentheses cross times 4 minus fraction numerator 1 over denominator 2 end fraction open parentheses 2 plus 4 close parentheses 2 equals 12 minus 6 equals 6m

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