How Does Wind Speed Affect Airplane Navigation?

[barthayn]

Homework Statement

A car leaves point A and drives at 80.0 km/h [E] for 1.50h. It then heads north at 60.0 km/h for 1.00h and finally [30^o W of N] at 100.0 km/h for 0.50g arriving at point B.

a) Determine the displacement of point B from point A.
b) A plane flies directly from point A to point B, leaving 2.00h after the car has departed from A. It arrives at point B at the same time the car arrives. There is a wind blowing at 60.0km/h due south for the entire trip. What is the airplane's airspeed?
c) What direction must the plane head in order to arrive at point B?
d) How long would the plane's trip be if there was no wind?

Homework Equations

All the ones dealing with motion.

The Attempt at a Solution

I got the answer for a. It is 114 km. How would I do b c and d? I have no idea where to begin.

 

[kuruman]

Homework Equations

All the ones dealing with motion.

Can you be more specific? Then we can point out the right starting point.

 

[barthayn]

Can you be more specific? Then we can point out the right starting point.

I just used SOH CAH TOA and v = d/t equations because there is no acceleration or anything. It is just vectors and diagrams. The wind speed got me confused because we did not learn about it.

 

[kuruman]

If you understand vector addition, then you can handle wind speed without problems.

Let
v_PG = velocity vector of plane relative to the ground
v_AG = velocity vector of air (or wind) relative to the ground
v_PA = velocity vector of plane relative to the air

Then

v_PG = v_AG + v_PA