Air Speed in Headwinds & Tailwinds: Calculating the Difference

[MikeX47]

An airplane normally flies at 260 km/h.
a) What is its air speed if it experiences a
60 km/h headwind?
Answer in units of km/h.

b) What is its air speed if it experiences a
60 km/h tailwind?
Answer in units of km/h.

I don't know how to solve this.

 

[Delphi51]

You must add the vectors for air speed and wind speed. Each vector is an arrow. You place the arrows head-to-tail and the sum is the new vector going from the beginning to the end of the head-to-tail series. Check out
http://hyperphysics.phy-astr.gsu.edu/hbase/vect.html#vec7
Note that your problem is simpler because the two vectors you add in each part are in the same or opposite directions, no angles involved.