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

Respuesta :

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

Answer:

b. 494.7 mph

Step-by-step explanation: