2. A car is travelling along a relatively straight highway 30 km long. For the first 5 minutes of the

2. A car is travelling along a relatively straight highway 30 km long. For the first 5 minutes of the journey, the car travels at a constant velocity of 30 km/h. After this, the car accelerates to 65 km/h within a 400 m stretch, and stays at this velocity for 14 minutes. The car slows to 50 km/h very quickly (in about 6 seconds) in order to avoid running into a car in front, and slowly sped up to 80 km/h over the remainder of the length of the highway (i. e. reached 80 km/h at the end of the highway)

a. Draw a graph showing the acceleration of the car on the highway (v vs. t graph)
b. Draw a graph showing the velocity of the car on the highway (x vs t graph)
c. What is the average velocity of the car over the highway trip?

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