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    Calculating magnitude of a vector and height

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    If A = (12i - 16j) and B = (-24i+10j), what is the magnitude of the vector C=(2A-B)?

    a) 42
    b) 22
    c) 64
    d) 90

    An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange?

    a) 4.7 m
    b) 47.0 m
    c) 5.6 m
    d) 56.0 m

    Thank you.

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    Solution Summary

    This solution is provided in 124 words in an attached .doc file. It uses simple calculation to find the magnitude of a vector and uses a diagram to as well as calculations to find height.