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Physics

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An ice skater skates 16.9 m southwest, then
33.8 m east, and finally 50.7 m in a direction
50.9◦ north of east.
Find the magnitude of the displacement re-
quired to bring the skater back to her starting
point.
Answer in units of m

  • Physics -

    16.9m[225o]
    33.8m[0o]
    50.7m[50.9o]

    X=16.9*cos225+33.8+50.7*cos50.9=53.8 m.
    Y=16.9*sin225+0+50.7*sin50.9 = 27.4 m.

    tan A = Y/X = 27.4/53.8 = 0.50921
    A = 27o

    D = X/cos A = 53.8/cos27 = 60.38 m.

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