# Graph And Trend Line Interpretation

10 Questions

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

• 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.

• B.

• 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.]