Thread: vector help

The angle of POW is 45 . In the diagram OP represents
the velocity of an aircraft cruising at a constant
velocity of 500 km per hour due north . OW represents
the constant wind velocity of 50 km per hour . How
far will the aircraft deviate from its original path after
it has travelled for 3 hours .








P W





O

Originally Posted by mathaddict

The angle of POW is 45 . In the diagram OP represents
the velocity of an aircraft cruising at a constant
velocity of 500 km per hour due north . OW represents
the constant wind velocity of 50 km per hour . How
far will the aircraft deviate from its original path after
it has travelled for 3 hours .
...

Use a coordinate system with the x-axis pointing East and the y-axis pointing North.

Then the vector which describes the flight of the air plane in one hour is:

and the vector describing the winds movement in one hour is



The course over ground of the airplane in t hours is:



The position of the plane after 3 hours flight will be:



Without any wind the plane would be at

Now calculate the difference between these two places.