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A pilot flies her route in two straight-line segments. The displacement vector A for the first segment has a magnitude of 246 km and a direction 30.0o north of east. The displacement vector B for the second segment has a magnitude of 178 km and a direction due west. The resultant displacement vector is R = A + B and makes an angle è with the direction due east. Using the component method, find (a) the magnitude of R and (b) the directional angle è.

  • physics - ,

    (1) Resolve travel segments into north and east components
    (2) Perform a vector addition of the north and east components separately.
    (3) With the east and north components of the sum vector, N and E, compute the magnitude and direction

    Magnitude = sqrt(N^2 + E^2)
    Direction (N of E) = tan^-1 (N/E)

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