$2$ Applying Your Understanding

Now you will apply the general understanding you displayed in the previous section to a specific graph and obtain specific numerical answers. Here is the graph of the function $v$ :

Sections of the graph that appear to be straight lines are intended to actually be straight lines. Use the graph to answer the following questions about this car trip.

Problem $4$

What direction is the car traveling at $3$:$00?$

How far does the car travel in the first two hours of the trip?

Does the car end up to the North or to the South of its starting point?

At $t=4$ is the car to the North or to the South of its position at $t=2?$

What is the rate of acceleration of the car at $1$:$30?$

Estimate the rate of acceleration of the car at $4$:$30?$

For each question, explain how you found the answer, probably referring to one or more of the problems from Section I in your explanation.