Question

An airplane flies 12 m/s due north with a velocity of 35.11 m/s. how far east does it fly?

Answer 1

The question says: The airplane flew due north for the given duration  (i interpret m/s to be milliseconds) and at the given velocity.

 The statement mentions no change in direction or angle, therefore the airplane does not fly east (or the airplane travels 0.0m east).

Answer 2

The plane's velocity of 35.11 m/s is actually due in a north-eastward direction. The 12 m/s velocity is the vertical component of the plane's velocity, hence it is pointing northwards. We will use the formula:

Vy = Vsin∅

To determine the angle ∅ at which the plane is flying. This is:

12 = 35.11 * sin∅
∅ = 20.0 degrees

The eastward velocity is:

Vx = Vcos∅
Vx = 35.11 * cos(20)
Vx = 33.0 m/s

The plane's eastward velocity is 33.0 m/s