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Tuesday, August 7, 2012

Final 12 - Water Clock


Given:

  • \mbox{In one time interval, a ball rolls down the incline 0.8 meters.}

Question:

  • \mbox{What interval does the ball travel in the second and third time intervals?}

Rationale & Calculate:

  • \Delta{x} \varpropto t^2
    • \Delta{x-1} = 1 * K
    • \Delta{x-2} = 4 * K 
    • \Delta{x-3} = 9 * K  
  • K = 0.8 \; \mbox{since at t-1, x-1 is 0.8}
    • \Delta{x-2} = 3.2  
    • \Delta{x-3} = 7.2  
  • Interval_{2-1} = 3.2 - 0.8 = 2.4
  • Interval_{3-2} = 7.2 - 3.2 = 4.0

References:

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