Module Development Template

1
Motion
Introduction
2
Frozen Time
3
Frozen Time
4
Motion Diagram
5
Motion Diagram
6
Motion Diagrams
7
Linear Functions

1. Find the equation of the red trend line in the
   form ymxb, where x is years since 2000 and y
   is concentration of CO2 in ppm.

8
Chapter 1. Reading Quizzes
9
What is a particle?

1. Any part of an atom
2. An object that can be represented as a mass at
   a single point in space
3. A part of a whole
4. An object that can be represented as a single
   point in time
5. An object that has no top or bottom, no front or
   back

10
What is a particle?

1. Any part of an atom
2. An object that can be represented as a mass at
   a single point in space
3. A part of a whole
4. An object that can be represented as a single
   point in time
5. An object that has no top or bottom, no front or
   back

11
What quantities are shown on a complete motion
diagram?

• The position of the object in each frame of the
  film, shown as a dot
• The average velocity vectors (found by connecting
  each dot in the motion diagram to the next with a
  vector arrow)
• The average acceleration vectors (with one
  acceleration vector linking each two velocity
  vectors)
• All of the above

12
What quantities are shown on a complete motion
diagram?

• The position of the object in each frame of the
  film, shown as a dot
• The average velocity vectors (found by connecting
  each dot in the motion diagram to the next with a
  vector arrow)
• The average acceleration vectors (with one
  acceleration vector linking each two velocity
  vectors)
• All of the above

13
An acceleration vector

1. tells you how fast an object is going.
2. is constructed from two velocity vectors.
3. is the second derivative of the position.
4. is parallel or opposite to the velocity vector.
5. Acceleration vectors werent discussed in this
   chapter.

14
An acceleration vector

1. tells you how fast an object is going.
2. is constructed from two velocity vectors.
3. is the second derivative of the position.
4. is parallel or opposite to the velocity vector.
5. Acceleration vectors werent discussed in this
   chapter.

15
The pictorial representation of a physics
problem consists of

• a sketch.
• a coordinate system.
• symbols.
• a table of values.
• all of the above.

16
The pictorial representation of a physics
problem consists of

• a sketch.
• a coordinate system.
• symbols.
• a table of values.
• all of the above.

17
Motion Diagram Concept Questions
18
Three motion diagrams are shown. Which is a dust
particle settling to the floor at constant speed,
which is a ball dropped from the roof of a
building, and which is a descending rocket
slowing to make a soft landing on Mars?
A. (a) is ball, (b) is dust, (c) is rocket B.
(a) is ball, (b) is rocket, (c) is dust C. (a) is
rocket, (b) is dust, (c) is ball D. (a) is
rocket, (b) is ball, (c) is dust E. (a) is dust,
(b) is ball, (c) is rocket
19
Three motion diagrams are shown. Which is a dust
particle settling to the floor at constant speed,
which is a ball dropped from the roof of a
building, and which is a descending rocket
slowing to make a soft landing on Mars?
A. (a) is ball, (b) is dust, (c) is rocket B.
(a) is ball, (b) is rocket, (c) is dust C. (a) is
rocket, (b) is dust, (c) is ball D. (a) is
rocket, (b) is ball, (c) is dust E. (a) is dust,
(b) is ball, (c) is rocket
20
A particle moves from position 1 to position 2
during the interval ?t. Which vector shows the
particles average velocity?
21
A particle moves from position 1 to position 2
during the interval ?t. Which vector shows the
particles average velocity?
22
A particle undergoes acceleration while moving
from point 1 to point 2. Which of the choices
shows the velocity vector as the object moves
away from point 2?
23
A particle undergoes acceleration while moving
from point 1 to point 2. Which of the choices
shows the velocity vector as the object moves
away from point 2?
24
Graphical Analysis of Motion Concept Questions
25
Which position-versus-time graph represents the
motion shown in the motion diagram?
26
Which position-versus-time graph represents the
motion shown in the motion diagram?
27
Which velocity-versus-time graph goes with the
position-versus-time graph on the left?
28
Which velocity-versus-time graph goes with the
position-versus-time graph on the left?
29
The graph of position versus time for a car
is given below. What can you say about the
velocity of the car over time?
a) it speeds up all the time b) it slows down
all the time c) it moves at constant velocity d)
sometimes it speeds up and sometimes it slows
down e) not really sure
x
t
30
a) it speeds up all the time b) it slows down
all the time c) it moves at constant velocity d)
sometimes it speeds up and sometimes it slows
down e) not really sure
The graph of position versus time for a car
is given below. What can you say about the
velocity of the car over time?
The car moves at a constant velocity because the
x vs. t plot shows a straight line. The slope of
a straight line is constant. Remember that the
slope of x versus t is the velocity!
x
t
31

• a) it speeds up all the time
• b) it slows down all the time
• c) it moves at constant velocity
• d) sometimes it speeds up and
• sometimes it slows down
• e) not really sure

The graph of position vs. time for a car is
given below. What can you say about the velocity
of the car over time?
32
The graph of position vs. time for a car is
given below. What can you say about the velocity
of the car over time?

• a) it speeds up all the time
• b) it slows down all the time
• c) it moves at constant velocity
• d) sometimes it speeds up and
• sometimes it slows down
• e) not really sure

The car slows down all the time because the slope
of the x vs. t graph is diminishing as time goes
on. Remember that the slope of x vs. t is the
velocity! At large t, the value of the position x
does not change, indicating that the car must be
at rest.
t
33
Which position-versus-time graph goes with the
velocity-versus-time graph at the top? The
particles position at ti 0 s is xi 10 m.
34
Which position-versus-time graph goes with the
velocity-versus-time graph at the top? The
particles position at ti 0 s is xi 10 m.
35
a) decreases b) increases c) stays constant d)
increases, then decreases e) decreases, then
increases
Consider the line labeled A in the v versus
t plot. How does the speed change with time for
line A?
36
a) decreases b) increases c) stays constant d)
increases, then decreases e) decreases, then
increases
Consider the line labeled A in the v versus
t plot. How does the speed change with time for
line A?
In case A, the initial velocity is positive
and the magnitude of the velocity continues to
increase with time.
37
a) decreases b) increases c) stays constant d)
increases, then decreases e) decreases, then
increases
Consider the line labeled B in the v versus
t plot. How does the speed change with time for
line B?
A
v
t
B
38
a) decreases b) increases c) stays constant d)
increases, then decreases e) decreases, then
increases
Consider the line labeled B in the v versus
t plot. How does the speed change with time for
line B?
In case B, the initial velocity is positive but
the magnitude of the velocity decreases toward
zero. After this, the magnitude increases again,
but becomes negative, indicating that the object
has changed direction.
39
Which velocity-versus-time graph or graphs goes
with this acceleration-versus-time graph? The
particle is initially moving to the right and
eventually to the left.
40
Which velocity-versus-time graph or graphs goes
with this acceleration-versus-time graph? The
particle is initially moving to the right and
eventually to the left.
41

• When throwing a ball straight up, which of the
  following is true about its velocity v and its
  acceleration a at the highest point in its path?

a) both v 0 and a 0 b) v ¹ 0, but a 0 c)
v 0, but a ¹ 0 d) both v ¹ 0 and a ¹ 0 e) not
really sure
42

• When throwing a ball straight up, which of the
  following is true about its velocity v and its
  acceleration a at the highest point in its path?

a) both v 0 and a 0 b) v ¹ 0, but a 0 c)
v 0, but a ¹ 0 d) both v ¹ 0 and a ¹ 0 e) not
really sure
At the top, clearly v 0 because the ball
has momentarily stopped. But the velocity of the
ball is changing, so its acceleration is
definitely not zero! Otherwise it would remain
at rest!!
y
43
The ball rolls up the ramp, then back down. Which
is the correct acceleration graph?
44
The ball rolls up the ramp, then back down. Which
is the correct acceleration graph?
45
Rubber Ball I
You drop a rubber ball. Right after it
leaves your hand and before it hits the floor,
which of the above plots represents the v vs. t
graph for this motion? (Assume your y-axis is
pointing up).
v
46
Rubber Ball I
You drop a rubber ball. Right after it
leaves your hand and before it hits the floor,
which of the above plots represents the v vs. t
graph for this motion? (Assume your y-axis is
pointing up).
v
47
Rubber Ball II
You toss a ball straight up in the air and
catch it again. Right after it leaves your hand
and before you catch it, which of the above plots
represents the v vs. t graph for this motion?
(Assume your y-axis is pointing up).
v
48
Rubber Ball II
You toss a ball straight up in the air and
catch it again. Right after it leaves your hand
and before you catch it, which of the above plots
represents the v vs. t graph for this motion?
(Assume your y-axis is pointing up).
v
49
Rubber Ball III
You drop a very bouncy rubber ball. It
falls, and then it hits the floor and bounces
right back up to you. Which of the following
represents the v vs. t graph for this motion?
v
50
Rubber Ball III
You drop a very bouncy rubber ball. It
falls, and then it hits the floor and bounces
right back up to you. Which of the following
represents the v vs. t graph for this motion?
v