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

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above: the 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