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[b]1. The problem statement, all variables and given/known

  1. Feb 25, 2009 #1
    1. The problem statement, all variables and given/known data

    A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 1.6m to the north, 7.4m northeast, and 3.7m 57 degrees west of south. starting from the same initial postion, an expert golfer could make the hole in a single displacement. What is the magnitude of this single displacement ?

    2. Relevant equations

    SOH CAH TOA

    3. The attempt at a solution

    IM confused if northeast is enough information to solve the problem. I used SOH CAH TOA to find the lengths of the sides of the triangle and put northeast as 45 degrees but im not sure if that correct. I subtracted the vectors and used the pathagreon theroum to find the displacement but my answer can out inncorrect.
     
  2. jcsd
  3. Feb 25, 2009 #2

    LowlyPion

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    Re: Vectors

    Maybe try a more careful method?

    Putt-1 = 0 i + 1.6 j
    Putt-2 = ... i + ... j
    Putt-3 = ... i + ... j

    Then add your components and use Pythagoras?

    (And yes, northeast is 45°)
     
  4. Feb 25, 2009 #3
    Re: Vectors

    What do the i and j represent ?
     
  5. Feb 25, 2009 #4

    LowlyPion

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    Re: Vectors

    Those are the x and y components of the vector.

    Putt-1 = 0 i + 1.6 j

    It went 1.6 north and 0 in the east-west direction.
     
  6. Feb 25, 2009 #5
    Re: Vectors

    So... displacement is 2.1 i + 4.8 j ??

    Putt 1: 0 i + 1.6 j
    Putt 2: 5.2 i + 5.2 j
    putt 3: 3.1 i + 2 j
     
  7. Feb 25, 2009 #6

    LowlyPion

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    Re: Vectors

    That's the idea.

    Looks right, though the signs on Putt-3 aren't exactly right. The result is apparently.
     
  8. Feb 25, 2009 #7
    Re: Vectors

    I GOT IT RIGHT ! thanks for the help
     
  9. Feb 25, 2009 #8

    LowlyPion

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    Re: Vectors

    You're welcome of course.

    But don't act so surprised.
     
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