Drawing a Velocity/Position-Time graph from 2D kinematics.

[mHo2]

Homework Statement

Hi, I'm having trouble conceptualizing how to draw a Velocity(Or position)-Time Graph where more than One dimension is covered. We haven't really covered this in class, but its giving me trouble.

The concept is:
Acceleration is negative when changing direction(This was stated in one of my assignments, perhaps it was only a 1D graph, which would make sense; however as previously stated it got me thinking about making a Velocity-Time or Displacement-Time graph from a 2D problem)

Homework Equations

Here's a word problem i cooked up.

An airplane is flying at 5m/s N (Ignoring all air resistance) and after two minutes it encounters a crosswind that was going 3m/s 30° E of N for another two minutes(Resultant of 7.75 11.2° E of N)

Show the change in velocity.

The Attempt at a Solution

I thought this could perhaps go two ways:

A. Take the 'North' component of the second velocity, and compare the two (so find total distance of the first velocity) and find the vertical components velocity of the second measurement (the change). therefore finding the change in one directional Velocities. (allowing for a graph to be made like a 1D problem)

B. Compare the First velocity (5m/s north) to the resultant velocities vertical component (therefore getting the velocities before and after the change)Thanks for any assistance!

 

[mHo2]

Bumping

 

[Trolololol]

This graph should help you along the way