Determine the velocity of the plane relative to ground

AI Thread Summary
To determine the velocity of the plane relative to the ground, the airspeed of 200 km/h and wind speed of 50 km/h from the west must be analyzed as vector components. When the plane is pointed east, the ground speed is 250 km/h east. If the plane points west, the ground speed becomes 150 km/h west. For a northward direction, the wind affects the east-west component, resulting in a ground speed of approximately 200 km/h north with a westward drift. Lastly, when directed at 40 degrees east of north, the resultant velocity combines both the northward and eastward components, yielding a complex ground speed that requires vector addition for precise calculation.
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urgent physics help!

The airspeed of a small plane is 200 km/h. The wind speed is 50.0 k/h from the west. Determine the velocity of the plane relative to ground if the pilot keeps the plane pointing to each of the following directions:

a) [E] ☺ b) [W] ☺ c) [N] ☺☺☺ d) [N400E] ☺☺☺
 
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you have to break the velocities into components. Remember its a vector so it has x,y,z components. Then simply perform vector addition to find the velocity of the plane relative to ground so only same components can be added to each other x to x, y to y, z to z
 
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