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21 November, 06:15

An airplane is on a route from New York City to Madrid. The velocity of the plane is represented by v=30i-492j+42k. What is the magnitude of the velocity of the airplane?

a.

489.3 mph

c.

492.1 mph

b.

494.7 mph

d.

564 mph

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Answers (1)
  1. 21 November, 08:55
    0
    To solve this problem you must apply the proccedure shown below:

    1. You have the following information given in the problem above: t he velocity of the plane is represented by v=30i-492j+42k.

    2. Therefore, you have that you can calculate the magnitude as below:

    v = √ (A^2 + B^2 + C^2)

    v=√ (30^2+492^2+42^2)

    3. Then, you have that the result is:

    v=494.7 mph

    The answer is: b. 494.7 mph
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