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Problem Twenty Solution

Remember: use the slope test to check yourself. In the first interval, the car is speeding up, and the graph shows that with a curve where the slope of the tangent line along that curve as you move left to right is increasing (ie: speeding up).

The next interval is a straight line, which shouldn't be a surprise: straight lines in a displacement graph means constant velocity (Look at your graph keys!)

The next interval is the opposite of the first: the car is slowing down, which means the slope of the tangent line must decrease as you move left to right.

We will do more with this later in the simulations, so don't worry if you didn't get this, or still don't understand.