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GRE Vector addition problem

  1. Aug 22, 2013 #1
    1. The problem statement, all variables and given/known data
    http://grephysics.net/ans/0177/23

    The answer to this problem is confusing me.
    So you can calculate the normal acceleration and tangential acceleration to each by equal and 90° apart from each other, so their final vector has an angel of 45°. However, if the speed travels in the same direction as the tangential acceleration, wouldn't the angel between the TOTAL acceleration vector and the velocity vector be 22.5° ?
     
  2. jcsd
  3. Aug 22, 2013 #2

    vela

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    No, how'd you come up with 22.5 degrees? Try drawing a picture.
     
  4. Aug 22, 2013 #3
    because the total acceleration vector is at a 45 degree angel, and the velocity vector would be on an axis, so wouldn't between them be 22.5?
     
  5. Aug 22, 2013 #4

    verty

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    Speed is a scalar, it doesn't have direction. It is the velocity's magnitude and measures how quickly the particle is moving regardless of the direction of travel.
     
  6. Aug 22, 2013 #5

    vela

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    No, it wouldn't. Did you draw a picture? What's the angle between the tangential acceleration and the velocity?
     
  7. Aug 22, 2013 #6
    0? Arn't they the same?
     
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