The wind blows a piece of paper across the quad

You are walking across campus when you see a colorful piece of paper of mass m = 0.20 kg flying through the air. As the paper enters the science quad, it is moving North at v = 4 m/s.

As the paper goes across the quad, the wind continues to blow it, pushing it through the air.

  1. What is the area under the line on this graph? Please include the units.
  2. In this situation, the force of the wind can be expressed as a linear function of position, like so:

    Fill in the appropriate values for A and B. Don't forget the units!

  3. Using your formula for the force of the wind, integrate to find the work done by the wind on the paper.