"A plane has an airspeed of 142 m/s. A 16.0 m/s wind is blowing southward at the same time as the plane is flying. If the velocity of the plane relative to Earth is due east, what is the magnitude of that velocity

vr = 142.90 m/s

the magnitude of its relative velocity is 142.90 m/s

Explanation:

Given;

A plane has an airspeed of 142 m/s (eastward)

vi = 142 m/s

16.0 m/s wind is blowing southward at the same time as the plane is flying

vb = 16.0m/s

Writing the relative velocity vector, we have;

Taking north and south as positive and negative y axis respectively, east and west as positive and negative x axis respectively.

v = 142i - 16j

The magnitude of the velocity is;

vr = √(vi^2 + vb^2)

vr = √(142^2 + 16^2)

vr = √(20420)

vr = 142.8985654231 m/s

vr = 142.90 m/s

the magnitude of its relative velocity is 142.90 m/s

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me

the right answer is 0.3 meters per second