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2. iClicker - Demographics
What is your major? (if iClicker is not working make sure it is set to transmit on AA frequency)
Biology
Architecture
Pre-physical therapy / Kinesiology
Biochemistry
Other .

3. iClicker - Demographics
Do you plan on taking the MCAT or PCAT?
Both
Just the MCAT
Just the PCAT
Neither .

4. iClicker - Demographics
What year are you?
Freshman
Sophomore
Junior
Senior
Super-senior .

5. Looking Back: Trigonometry
In a previous course, you learned mathematical relationships among the sides and the angles of triangles.
In this course you’ll use these relationships to analyze motion and other problems.
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6. Chapter 1 Preview Stop to Think
What is the length of the hypotenuse of this triangle?
6 cm
8 cm
10 cm
12 cm
14 cm
Stop to Think Answer: C
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7. Section 1.1 Motion: A First Look
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8. Types of Motion
Motion is the change of an object’s position or orientation with time.
The path along which an object moves is called the object’s trajectory.
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9. Making a Motion Diagram
These motion diagrams in one dimension (straight- line) show objects moving at
constant speed (skateboarder)
speeding up (runner)
slowing down (car).
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10. Making a Motion Diagram
This motion diagram shows motion in two dimensions with changes in both speed and direction.
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11. QuickCheck 1.1
Car A
Car B
Motion diagrams are made of two cars. Both have the same time interval between photos. Which car, A or B, is going slower?
Answer: A
Car A
Car B
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12. QuickCheck 1.1
Car A
Car B
Motion diagrams are made of two cars. Both have the same time interval between photos. Which car, A or B, is going slower?
Car A
Car B
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13. The Particle Model
The particle model of motion is a simplification in which we treat a moving object as if all of its mass were concentrated at a single point
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14. QuickCheck 1.2
Two runners jog along a track. The positions are shown at 1 s intervals. Which runner is moving faster?
Runner A
Runner B
Answer: A
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15. QuickCheck 1.2
Two runners jog along a track. The positions are shown at 1 s intervals. Which runner is moving faster? A
Runner A
Runner B
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16. QuickCheck 1.3
Two runners jog along a track. The times at each position are shown. Which runner is moving faster?
Runner A
Runner B
Both runners are moving at the same speed.
Answer: C
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17. QuickCheck 1.3
Two runners jog along a track. The times at each position are shown. Which runner is moving faster?
Runner A
Runner B
Both runners are moving at the same speed.
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18. Section 1.2 Position and Time: Putting Numbers on Nature
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19. Position and Coordinate Systems
To specify position we need a reference point (the origin), a distance from the origin, and a direction from the origin.
The combination of an origin and an axis marked in both the positive and negative directions makes a coordinate system.
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20. Position and Coordinate Systems
The symbol that represents a position along an axis is called a coordinate.
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21. Time
For a complete motion diagram we need to label each frame with its corresponding time (symbol t) as read off a clock.
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22. Changes in Position and Displacement
A change of position is called a displacement.
Displacement is the difference between a final position and an initial position:
Δx = xf – xi = 0 – 50 ft = – 50 ft
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23. Change in Time
In order to quantify motion, we’ll need to consider changes in time, which we call time intervals.
A time interval Δt measures the elapsed time as an object moves from an initial position xi at time ti to a final position xf at time tf. Δt is always positive.
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24. Example 1.1 How long a ride?
Carol is enjoying a bicycle ride on a country road that runs east- west past a water tower. Define a coordinate system so that increasing x means moving east. At noon, Carol is 3 miles (mi) east of the water tower. A half-hour later, she is 2 mi west of the water tower. What is her displacement over that half-hour?
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25. Example 1.1 How long a ride?
Carol is enjoying a bicycle ride on a country road that runs east- west past a water tower. Define a coordinate system so that increasing x means moving east. At noon, Carol is 3 miles (mi) east of the water tower. A half-hour later, she is 2 mi west of the water tower. What is her displacement during that half-hour? prepare Although it may seem like overkill for such a simple problem, you should start by making a drawing, with the x-axis along the road.
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26. Example 1.1 How long a ride? (cont.)
solve We’ve specified values for Carol’s initial and final positions in our drawing. We can thus compute her displacement: Δx = xf  xi = ( 2 mi)  (3 mi) =  5 mi assess Carol is moving to the west, so we expect her displacement to be negative—and it is. We can see from our drawing in Figure 1.15 that she has moved 5 miles from her starting position, so our answer seems reasonable. Carol travels 5 miles in a half-hour, quite a reasonable pace for a cyclist.
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27. QuickCheck 1.4a
Maria is at position x = 23 m. She then undergoes a displacement x = –50 m. What is her initial position?
–27 m
–50 m
23 m
73 m
Answer: A
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28. QuickCheck 1.4a
Maria is at position x = 23 m. She then undergoes a displacement x = –50 m. What is her initial position?
–27 m
–50 m
23 m
73 m
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29. QuickCheck 1.4b
Maria is at position x = 23 m. She then undergoes a displacement x = –50 m. What is her final position?
–27 m
–50 m
23 m
73 m
Answer: A
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30. QuickCheck 1.4b
Maria is at position x = 23 m. She then undergoes a displacement x = –50 m. What is her final position?
–27 m
–50 m
23 m
73 m
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31. QuickCheck 1.5
An ant zig-zags back and forth on a picnic table as shown.
The ant’s distance traveled and displacement are
50 cm and 50 cm
30 cm and 50 cm
50 cm and 30 cm
50 cm and –50 cm
50 cm and –30 cm
Answer: E
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32. QuickCheck 1.5
An ant zig-zags back and forth on a picnic table as shown.
The ant’s distance traveled and displacement are
50 cm and 50 cm
30 cm and 50 cm
50 cm and 30 cm
50 cm and –50 cm
50 cm and –30 cm
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33. Section 1.3 Velocity
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34. Velocity and Speed
Motion at a constant speed in a straight line is called uniform motion.
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35. Example Problem
Jane walks to the right at a constant rate, moving 3 m in 3 s. At t = 0 s she passes the x = 1 m mark. Draw her motion diagram from t = –1 s to t = 4 s.
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