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The football player: Vectors question

  1. Dec 6, 2009 #1
    1. A football player runs directly down the field for 35 m before turning to the right at an angle of 25 degrees from his original direction and running an additional 15 m before getting tackled. What is the magnitude and direction of the runner's total displacement?

    2. Relevant equations

    Pythagorean Theorem (c^2 = a^2 + b^2)
    Sin, Cosine, and Tangent Functions
    Inverse of Sin, Cosine, and Tangent functions

    3. I do not have nay idea how to approach this question. Vectors is an easy concept, but I probably do not understand the context of the question itself. According to the textbook, the answer is "49 m at 7.3 degrees to the right of down-field".
  2. jcsd
  3. Dec 6, 2009 #2


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    Homework Helper

    Th angle between the vectors is 25 degrees. Using cosine rule find resultant displacement.
    To find the direction, take the component of 25 degrees along the original direction and perpendicular to the original direction. Using the tangent function find the direction.
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