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Kinetic Energy v. Time Graph for Freefall

  1. Apr 6, 2016 #1
    1. The problem statement, all variables and given/known data

    Pretty simple question, just checking for confirmation. It was a small question at the beginning of a summative test, a rock was dropped off of a bridge and we were asked to graph the kinetic energy over time.

    2. Relevant equations

    1/2mv^2.

    3. The attempt at a solution
    I started from 0 and went upwards (exponentially). Two friends were telling me I was wrong. :( Who was right? They say it's a linear line, but I disagreed because of the v^2. Thanks for any insight.
     
  2. jcsd
  3. Apr 6, 2016 #2
    Just think of the relationship of v with t for free fall.
     
  4. Apr 7, 2016 #3

    haruspex

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    Do you mean exponentially? You are right that it is not linear.
     
  5. Apr 7, 2016 #4
    Yeah, velocity increases. Then it is squared in the formula for kinetic energy.
     
  6. Apr 7, 2016 #5

    haruspex

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    Right, so what adjective will describe the curve?
     
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