In 2005, Hurricane Rita hit several states in the southern United States. In the panic to escape her wrath, thousands of people tried to flee Houston, Texas by car. One car full of college students traveling to Tyler, Texas, 199 miles north of Houston, moved at an average speed of 3.0 m/s for one-fourth of the time, then at 4.5 m/s for another one-fourth of the time, and at 6.0 m/s for the remainder of the trip.
a) How long did it take the students to reach their destination?
b) Sketch a graph of position versus time for the trip.
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