Question

An airplane heads due north at 100 m/s through a 30 m/s cross wind blowing from the east to the west. Determine the resultant velocity of the airplane (relative to due north).

Answer 1

Answer:   70m/s

Explanation:

                   100-30=70m/s

Answer 2

Answer:

The resultant velocity of the airplane (relative to due north). = 104m/s

Explanation:

The plane is heading north which is perpendicular to west (the direction the wind is pushing)

therefore the resultant of these two vectors is the hypotenuse of a right triangle .

using pythagorus  theorem to find magnitude of velocity vector.

V²  = V²plane  + V² wind

V²PG = (100)² + (30)²

V²PG = 10000+900

VPG = √10900

VPG = 104 m/s

The resultant velocity of the airplane (relative to due north). = 104m/s