Question
A plane whose air speed is 200 km/h heads due North. But a 100 km/h northeast wind suddenly begins to blow. What is the resulting velocity of the plane with respect to the ground?
Answers
oobleck
If by "northeast wind" you mean blowing in the NE direction, then the resultant vector
v = 200j + 50√2 i + 50√2 j
= 50√2 i + (200 + 50√2)j
|v| = 100√(5+2√2)
direction is N 14.64° E
Alter that if you meant blowing <u>from</u> the NE
v = 200j + 50√2 i + 50√2 j
= 50√2 i + (200 + 50√2)j
|v| = 100√(5+2√2)
direction is N 14.64° E
Alter that if you meant blowing <u>from</u> the NE