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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