Physics

Determine the magnitude of the vector sum V=V1+V2 and the angle theta(x) which V makes counterclockwise from the positive x-axis.

V1 = 34 units and makes a 20 degree angle with the +x axis

V2 = 28 units and forms a 3,4,5 triangle with the -x axis

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  1. V = 34[20o] + 28[53.1o]

    X = 34*cos20 + 28*cos53.1 = 48.75 Units.
    Y = 34*sin20 + 28*sin53.1 = 34.03 Units.

    V^2=X^2 + Y^2 = 48.75^2 + 34.03^2=3535.
    V = 59.5 Units.

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