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The figure below represents a speed time graph for a cheetah which covered 825m in 40 seconds.
MathF4OPP1Q21

  1. State the speed of the cheetah when recording of its motion started 
  2. Calculate the maximum speed attained by the cheetah 
  3. Calculate the acceleration of the cheetah in:

    • The first 10 seconds 
    • The last 20 seconds
  4. Calculate the average speed of the cheetah in first 20 seconds

1 Answer

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  1. 15m/s
  2. 1/2 (15+h)×10+1/2 (10+30)h=825
    75+5h+20h=825
    25h=750
  3.    
    1. h=30m/s(i) = (30-15)/10
      = 1.5m/s2
    2. 0-30/20 = -1.5m/s2
  4. [1/5 (15+30)×10+10×30]÷20
    = (225+300)÷20
    =26.25 m/s
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