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college physics

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A person walks from point A to point B as shown in the figure below. What is the person's displacement relative to A?
What is the magnitude?
What is the direction ° (counterclockwise from the +x-axis)?

  • college physics -

    OK, I found the figure at

    All you have to do is use a little trig and add up the vertical and horizontal displacements.

    Four vectors are being added. In the +y direction, the change in position is
    Y = 20 sin 30 + 30 - 20 sin 45
    = 25.86 m

    You do the +x displacement, which is
    X = 20 cos30 -40 + 20 cos 45, which is a negative number.

    Use the Pythagorean theorem for the magnitude of the displacement.

    The direction angle is in the second quadrant and the tangent of the angle from the +X axis is Y/X

  • college physics -

    27m at 72 degrees

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