Question 1

Refer to the first position vs. time graph ($$image_1). At $$which labeled point (I–V) is the object's instantaneous velocity zero?

Accepted Answer

Point IV

Question 2

In the second position vs. time graph ($$image_2$$), between which two points does the object have the greatest negative velocity?

Accepted Answer

Between points D and E

Question 3

For the first graph ($$image_1$$), what is the average velocity between $$t = 0$$ min and $$t = 8$$ min?

Accepted Answer

$$0\ \mathrm{m/min}$$

Question 4

In the scenario with two trains ($$image_20$$), if the passenger train applies brakes with acceleration $$a = -0.100\ \mathrm{m/s^2$}$$, how long does it take to stop if it starts at $$v_{PT} = 25.0\ \mathrm{m/s}$$?

Accepted Answer

$$250\ \mathrm{s}$$

Question 5

Using the train scenario ($$image_20$$), what is the minimum distance required for the passenger train to stop from $$25.0\ \mathrm{m/s}$$ with $$a = -0.100\ \mathrm{m/s^2$}$$?

Accepted Answer

$$3125\ \mathrm{m}$$

Question 6

In the first graph ($$image_1$$), during which interval is the object moving with the greatest positive velocity?

Accepted Answer

From II to III

Question 7

For the second graph ($$image_2$$), at which point does the object change direction?

Accepted Answer

Point C

Question 8

Given the train scenario ($$image_20$$), if the freight train is moving at $$v_{FT} = 15.0\ \mathrm{m/s}$$ and the passenger train is $$200\ \mathrm{m}$$ behind at $$25.0\ \mathrm{m/s}$$, how long until the passenger train catches up if it does not brake?

Accepted Answer

$$20\ \mathrm{s}$$

Question 9

In the first graph ($$image_1$$), what is the acceleration between points III and IV?

Accepted Answer

Negative

Question 10

For the second graph ($$image_2$$), what is the displacement of the object from $$t = 0 to$$ $$t = 10\ \mathrm{s}$$?

Accepted Answer

$$10\ \mathrm{m}$$

Question 11

Which of the following best describes the motion at point V in the first graph ($$image_1$$)?

Accepted Answer

The object is moving backward

Question 12

In the train scenario ($$image_20$$), if the passenger train and freight train continue at constant speeds, what is the equation for the position of the passenger train as a function of time?

Accepted Answer

$$x_{PT}(t) = 25.0t - 200$$

Question 13

For the second graph ($$image_2$$), what is the average velocity between $$t = 0$$ and $$t = 10\ \mathrm{s}$$?

Accepted Answer

$$1\ \mathrm{m/s}$$

Question 14

In the first graph ($$image_1$$), which segment shows the object at constant velocity?

Accepted Answer

None of the above

Question 15

In the train scenario ($$image_20$$), if the passenger train starts braking at $$200\ \mathrm{m}$$ behind the freight train, will it stop before colliding? (Assume $$a = -0.100\ \mathrm{m/s^2$}$$, $$v_{PT} = 25.0\ \mathrm{m/s})$$

Accepted Answer

No, it will not stop in time

Motion Along a Straight Line: Position-Time Graphs and Kinematics

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