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Math Help - vector problem 2

  1. #1
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    vector problem 2

    You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy coordinate system and ending at the xy coordinates (-149 m, 81 m). The x component and y component of your moves are the following, respectively, in meters: (20 and 60), then (bx and -70), then (-20 and cy), then (-60 and -70). What are (a) component bx and (b) component cy? What are (c) the magnitude and (d) the angle (relative to the positive direction of the x axis) of the overall displacement?
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  2. #2
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    Quote Originally Posted by BiGpO6790 View Post
    You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy coordinate system and ending at the xy coordinates (-149 m, 81 m). The x component and y component of your moves are the following, respectively, in meters: (20 and 60), then (bx and -70), then (-20 and cy), then (-60 and -70). What are (a) component bx and (b) component cy? What are (c) the magnitude and (d) the angle (relative to the positive direction of the x axis) of the overall displacement?
    This is not really a calculus problem:
    You are to make four straight-line moves

    Some simple addition:

    for the x vector sum
    20 + bx - 20 - 60 = -149
    (a) component: bx = 89


    for the y vector sum
    60 -70 + cy -70 = 81
    (b) component: cy = 161

    (c) magnitude =  \sqrt{ (-149)^2 + 81^2 }


    arctan (81/-149) = -0.4979radians ( = -28.5296 degrees )
    & to make it positive (counterclockwise from zero, quadrant 1)
    pi -0.4979radians = 2.6436radians ( = 151.4704 deg )

    (d) the angle = 2.6436radians ( = 151.4704 deg )

    .
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