K-GA-1The graph shows position as a function of time for two trains running on parallel tracks.

Which of the following statements are true:
 

1. At time tB, both trains have the same velocity.
2. Both trains speed up all the time.
3. Both trains have the same velocity at some time before tB.
4. At some instant, both trains have the same acceleration.
5. At time tB, both trains have the same magnitude of displacement from t = 0.

K-GA-2 The position of two cars as a function of time is plotted in the figure. Which of the following statements are false regarding this situation?

1. Car 1 has the greatest average velocity between points A and D.
2. Car 2 has the greatest average velocity between points A and D.
3. Car 2 has the same acceleration at point B as car 1 does at point E.
4. Car 2 has a greater acceleration than car 1 at point C.
5. Car 1 is momentarily at rest at point B.
6. Car 2 is momentarily at rest at point C.

K-GA-3 The velocity as a function of time for three different objects moving in a straight line are plotted to the right. Which of the following statements about their motion are necessarily (must be) true?

1. At point A, the position of object 3 is the same as object 1 or 2.
2. At point B, the position of object 2 is greater than object 3.
3. Halfway between time tA and tB the position of 3 is greater than 1 or 2.
4. Nothing can be determined about the position of the objects from this plot.

K-GA-4 A person initially at point P in the illustration stays there a moment and then moves along the axis to Q and stays there a moment. She then runs quickly to R, stays there a moment, and then strolls slowly back to P. Which of the position versus time graphs below correctly represents this motion?

K-GA-5 When is the speed maximum and the object moving in the negative direction?

K-GA-6 The figure shows a plot of an object's velocity as a function of time. What is the value, in m/s², of the greatest magnitude acceleration the object undergoes.

K-GA-7 Which of the following position as a function of time plots shows an object that has the direction of velocity change during the motion plotted,

shows an object that is speeding up during the entire time plotted,

shows an object that has an acceleration with a constant direction and magnitude?

K-GA-16 The graphs below show position versus time for six boats traveling along a straight, narrow channel. The scales on both axes are the same for all of these graphs. In each graph, a point is marked with a dot. Rank the magnitude of the velocity of the boat at the point indicated.