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← 01-11 Velocity And Acceleration

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Showing Revision 1 created 10/01/2012 by Amara Bot.

  1. Assume that this is the curve that describes
  2. the dependence of position on time.
  3. What would be the curve that describes the
  4. dependence of velocity x dot on time--
  5. the red one, the green one, the purple one--
  6. and this is getting a little more complex.
  7. Assume that this is again a curve that describes
  8. the dependence of position on time.
  9. What about the second derivative?
  10. If you repeat that same process again--
  11. the derivative of the derivative,
  12. the rate of change of the rate of change--
  13. that's nothing but acceleration.
  14. Acceleration is the rate of change of velocity.
  15. How quickly does velocity change?
  16. So what would the acceleration be on the red curve--
  17. the green curve or the purple curve.