Anu asked in Science & MathematicsPhysics · 1 month ago

physics vectors?

The distance between bases on a professional baseball diamond is 27.4m. Amy is the batter and gets a hit. She runs due west to first base then turns due south and runs to second base where she stops. Determine the displacement of second base relative to home plate. Show your work.

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  • oubaas
    Lv 7
    1 month ago

    distance D = d√1^2+1^2 = d√2 = 27.4√2 m ( ≅ 38.75)

    ...i.e. the diagonal of a square having side 27.4 m

  • 1 month ago

    a^2 + b^2 =c^2

    (27.4)^2 + (27.4)^2 = 1501.52

    √ (1501.52)= 38.75 m displacement of second base relative to home plate. 

  • NCS
    Lv 7
    1 month ago

    It might be easiest to invert the compass and make west positive (+x axis) and south positive (+y axis)

    displacement s = (27.4 i^ + 27.4 j^) m

    using the unit vector notation with which you should be familiar.

    That displacement has magnitude

    |s| = 27.4m * √2 = 38.7 m

    with direction south west.

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