Graph And Trend Line Interpretation

10 Questions

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Graph And Trend Line Interpretation

The following questions cover the content in Kinematics 2 (K2).


Questions and Answers
  • 1. 
    Position vs time data for a car has been collected and plotted, yielding the trend line y = -2x2 + 16x + 8. Assume the car is heading eastward. What is the car's acceleration?
    • A. 

      -2 i (m/s/s)

    • B. 

      -4 i (m/s/s)

    • C. 

      8 i (m/s/s)

    • D. 

      16 i (m/s/s)

    • E. 

      None of the above

  • 2. 
    Considering the same car, with the trend line y = -2x2 + 16x + 8, what is the car's velocity at t = 1 second? State your answer to the units place.[State your answer in the format: "24 i (m/s)" or "-8 i (m/s)", without the quotation marks.]
  • 3. 
    In which of the following scenarios will the object be slowing down?
    • A. 

      V_i = 5 i (m/s) and a = 2 i (m/s/s)

    • B. 

      V_i = -8 i (m/s) and a = 2 i (m/s/s)

    • C. 

      V_i = -8 i (m/s) and a = -2 i (m/s/s)

    • D. 

      V_i = 5 i (m/s) and a = -2 i (m/s/s)

  • 4. 
    Characterize the motion of an object by analyzing its position vs time graph.(Check each box that is correct.)
    • A. 

      It's heading forward.

    • B. 

      It's heading backward.

    • C. 

      It's speeding up.

    • D. 

      It's slowing down.

  • 5. 
    Which of the following answer choices shows an object slowing down? Choose all that apply.
    • A. 

      Option1

    • B. 

      Option2

    • C. 

      Option3

    • D. 

      Option4

  • 6. 
    A position vs time plot of a northbound car yields the trend line y = 4x2 + 10. At what time does the object have a position of 46 j (m)? State your answer to the tenths place and put the units in parenthesis.[State your answer in the format: "1.6 (s)" or "5.0 (s)", without the quotation marks.]
  • 7. 
    A car's velocity vs time graph yields the trend line y = 5x + 2. Which of the following equations of motion is accurate?
    • A. 

      ∆x = 5t + 1t^2

    • B. 

      ∆x = 2t + 10t^2

    • C. 

      ∆x = 2 + 2.5t^2

    • D. 

      ∆x = 2t + 2.5t^2

    • E. 

      ∆x = 2 + 5t^2

  • 8. 
    A car's position vs time plot yields the trend line y = 3.5x2 + 10x + 2. Which of the following equations of motion is accurate?
    • A. 

      V_f = 10t + 3.5

    • B. 

      V_f = 7t^2 + 10t + 2

    • C. 

      V_f = 7t + 10

    • D. 

      V_f = 3.5t + 10

    • E. 

      V_f = 20t + 3.5

  • 9. 
    Which of the following velocity vs time graphs corresponds with the position graph shown?
    • A. 

      Option 1

    • B. 

      Option 2

    • C. 

      Option 3

    • D. 

      Option 4

  • 10. 
    A northbound car's position vs time plot yields the trend line y = -4x2 + 20x + 10. What is the displacement (not position) of the car at 2 seconds? State your answer to the units place.[State your answer in the format: "16 j (m)" or "-30 j (m)", without the quotation marks.]