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What displacement must be added to a 50cm displacement in the +x-direction to give a resultant displacement of 85cm at 25 degrees

  • physics -

    85cm @ 25 deg.
    Convert the vector to hor. and ver
    components.

    x = hor = 85cos25 = 77 cm.

    y = ver = 65*sin85 = 35.2 cm.

    Additions to the vector:
    x + 50 = 77,
    x = hor = 77 - 50 = 27 cm to be added.

    y + 0 = 35.2,
    y = 35.2.

    R = 27 + 35.2i = 44.4 @ 52.5 deg.

  • physics -

    CORRECTIONS:
    Y = ver = 85*sin25 = 35.2.

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