Relative Motion of an airplane

1. Oct 15, 2009

helpmee

1. The problem statement, all variables and given/known data
An airplane maintains a heading due west at an air speed of 900km/h. it is flying through a hurricane with winds of 300km/h, from the northeast.
a.in which direction is the plane movie relative to the ground
b.what is the planes ground speed?
c. how long would it take the plane to fly from one city to another 500km away , along the path in a.

2. Relevant equations
a^2+b^2=^2
D=v/t
SOHCAHTOA

3. The attempt at a solution

2. Oct 15, 2009

ideasrule

Did you attempt the question? If you're stuck, remember to draw a diagram first.

3. Oct 15, 2009

helpmee

I drew it but i couldn't post it on the question. i have and arrow pointing west and an arrow pointing southwest

Can you give me step by step instructions on solving these problems?

4. Oct 16, 2009

vk6kro

This is what you know:

The resultant direction is West.
The plane has a speed of 900 km/h.
The wind speed is 300 Km/h heading southwest.

So, you draw one vector 300 units long southwest.
At the end of this draw a vector 900 units long intercepting the horizontal line heading west.

Then you can measure the resultant ground speed in the westerly direction. The second line you drew gives the direction the plane has to try to fly to stay on course.