physics

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A triathlete swims 1200 m due to east followed by 1500 m due northeast (45o). What is the overall displacement? (magnitude and angle). Calculate the displacement with long-hand calculations.

  • physics -

    Long hand? I wonder what that means.

    sketch the diagram.

    You have two sides, and the included angle. SAS Law of cosines to get the magnitude of the displacement

    d^2=1200^2+1500^2+2(1200)(1500)Cos135
    solve for displacement magnitude.

    Now angle, in my sketch, law of sines:
    1500/SinA=d/sin135

    you know d, solve for A. But A is measured from East, so the angle from N is 90-A.

  • physics -

    thank you bobpursley

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