Asked by Julie

The velocity of an aiplane heading east at 400 knots and a wind velocity of 50 knots northeast. The airplane encounters this wind, show the resultant velocity. What is the resulant speed and direction of the airplane? (the direction is the angle the resultant makes with due north measured clockwise from north)
Answered by bobpursley
It is easy to do graphically.

Analytically, make each vector with its components.
Vairplane=400E + O N
Vair=50cos45E + 50sin45N

add the vectors.
Answered by Julie
I don't understnad how you found any of the equations.
Answered by bobpursley
The first Vairplane was given.
The second is given, however I used trig to convert it to N, E components.

http://hyperphysics.phy-astr.gsu.edu/hbase/vect.html#vec5
Answered by Julie
could you explain the last equations we have not yet learned that.
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