Analyze the dynamics on each time interval in order to make a graph.
From t₀ to t₁:
During this interval, the boy applies a constant force F.
If the direction in which this force is applied is considered as positive, then the graph will look like a horizontal line on a positive coordinate during this time interval.
From t₁ to t₂:
On this time interval, the friction slows down the door. Friction can be described as a constant force that opposes the motion of objects. Let's represent it using the letter f.
Then, it can be graphed as a horizontal line on a negative coordinate during this fime interval.
Then, the graph should look like the following: