Chapter 3 review


    Conceptual questions
      Section 3.2
      1. A position versus time graph represents the motion of two objects. The line for object one has a steep slope and the line for object two has a shallow slope. Which object is moving faster?
      2. What physical quantity is represented by area on a velocity versus time graph?
      3. Your friend took a walk through a maze. She wrote down exactly how far she traveled along each straight path in the maze and at what times she turned. She always walked with a steady velocity along any straight path and only changed velocities when she turned.
        1. Explain how you would use her data to find her instantaneous velocity at any single point in the maze. Include the equation you would use.
        2. Explain how you would use her data to find her average velocity. Include the equation you would use.
      4. Kristie walks once around a large circle at a constant speed. What is her average velocity for the whole walk? Explain using equations. Is Kristie’s instantaneous velocity constant? Explain this second part in words.
      5. Easy Scott is chasing Damian along a track. Consider two frames of reference: Damian’s moving frame of reference and the ground’s fixed frame of reference. Is Scott’s speed faster or slower in Damian’s reference frame compared to the ground’s frame?
      6. Is the speed greater at 10 s or at 40 s?
      7. Without looking at the numbers, does the graph above show a greater speed at 10 s or at 40 s?
        How can you tell?
      8. The area on the velocity versus time graph represents distance. What does the area on a position versus time graph represent?
      9. Which graph shows the least amount of movement?
      10. Which graph above shows the least amount of movement?
      11. Easy Describe three different ways you can travel 100 m in 10 s. Each different way must specify speed(s) and time(s).
      1. Which of the following sentences best matches the meaning of the equation d = vt?
        1. The speed is the distance divided by the time.
        2. The time is the distance divided by the speed.
        3. The distance is the speed multiplied by the time.
        4. The distance is the speed divided by the time.
      2. Easy What does the slope in a position versus time graph represent?
      3. Easy What can you say about the shape of a position versus time graph representing accelerated motion?
      4. Easy How do you find distance traveled on a velocity versus time graph?
      5. Medium Why is the slope of a distance versus time graph equal to speed?
      6. Medium A position–time graph of Liz’s trip to Boston shows a flat line starting at x = 3 hr and ending at x = 5 hr. What does this mean?
      7. Medium Janet is pulled over by a police officer for going faster than the speed limit. Janet, a high school physics student, argues that she didn’t violate the law because her average velocity over the course of the last five miles was under the speed limit. The officer still gives Janet a ticket. What was the mistake in Janet’s argument?
      8. What is the mythical race represented here?
      9. Medium This position versus time graph shows a famous, mythic race. Can you tell which one? Explain and include a description of the race in your answer.
      10. Challenging Give an example of a situation where an object moves in two or three dimensions but its motion can be characterized in one dimension?

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