A plane is headed directly north at 450km/hr. A wind is blowing from the west at 50km/h?

Question

What is the total velocity of the plane
formula n xplain

Answer 1

use laws for triangles
pythagoras for the velocity
a^2=b^2+c^2
a= the total velocity
b=450km/h
c=50km/h

total velocity=452.769km/h

i think thats it

Answer 2

Plane is headed due north, and wind from due west. The two vectors form a right triangle, with one side 450 and the other 50. The net direction of the plane is along the hypotenuse of the right triangle, with speed found by the Pythagorean theorem: c2 = a2 + b2. If the wind is from the West, then the plane will fly off its heading, to the East.

let a = 450
b = 50
then c = 452.769 km/hr, the speed of the airplane.

But, your problem asked for the velocity of the plane. Velocity is a vector, so magnitude and direction must be given.
The velocity vector is: v = 50i + 450j,
where i is the unit vector in the x, or East, direction, and j is the unit vector in the y, or North, direction

Answer 3

The direction will be 6.34 degrees instead of 0 degrees (being North). Typically I would say 0 degrees would be on the X axis but since we speak of direction, I will say North is 0 degrees.