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How do you find the average velocity for a circular round trip?

You run 4 laps at your favorite track. The track looks like a giant circle and has a radius of 200 feet. If you cover the 4 laps in 7 minutes, then what is your average velocity?

Summary

  1. r- radius
  2. ft- feet
  3. t- time
  4. The 4 laps were covered in 7 minutes

Notes

    1. vavg with an arrow- average velocity vector
    2. d with an arrow- displacement vector
    1. You know the time is 7 minutes, so you need to find the displacement before plugging in to the vavg equation
    1. Round trip problems are those where the initial and final points are the same
    1. d with an arrow- displacement vector
    2. Just remember that the displacement vector for a round trip is always zero
    1. d with an arrow- displacement vector
    2. vavg- average velocity
    1. vavg with an arrow- average velocity vector
    2. min- minutes
    3. Since zero is in the numerator, this ratio is just zero.
    1. d with an arrow- displacement vector
    2. The displacement vector is zero for all round trip paths