Table of contents

0. Math Review31m
- Math Review
  31m
1. Intro to Physics Units1h 29m
2. 1D Motion / Kinematics3h 56m
3. Vectors2h 43m
4. 2D Kinematics1h 42m
5. Projectile Motion3h 6m
6. Intro to Forces (Dynamics)3h 22m
7. Friction, Inclines, Systems2h 44m
8. Centripetal Forces & Gravitation7h 26m
9. Work & Energy1h 59m
10. Conservation of Energy2h 54m
11. Momentum & Impulse3h 40m
12. Rotational Kinematics2h 59m
13. Rotational Inertia & Energy7h 4m
14. Torque & Rotational Dynamics2h 5m
15. Rotational Equilibrium3h 39m
16. Angular Momentum3h 6m
17. Periodic Motion2h 9m
18. Waves & Sound3h 40m
19. Fluid Mechanics4h 27m
20. Heat and Temperature3h 7m
21. Kinetic Theory of Ideal Gases1h 50m
22. The First Law of Thermodynamics1h 26m
23. The Second Law of Thermodynamics3h 11m
24. Electric Force & Field; Gauss' Law3h 42m
25. Electric Potential1h 51m
26. Capacitors & Dielectrics2h 2m
27. Resistors & DC Circuits3h 8m
28. Magnetic Fields and Forces2h 23m
29. Sources of Magnetic Field2h 30m
30. Induction and Inductance3h 38m
31. Alternating Current2h 37m
32. Electromagnetic Waves2h 14m
33. Geometric Optics2h 57m
34. Wave Optics1h 15m
35. Special Relativity2h 10m

2. 1D Motion / Kinematics

Position-Time Graphs & Velocity

Physics

2. 1D Motion / Kinematics

Position-Time Graphs & Velocity

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Problem 17d

Textbook Question

In Fig. 2–40, does the object move in one direction or in both directions during the time shown?

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Analyze the given figure (Fig. 2–40) and identify the type of graph provided. It is likely a position vs. time graph or velocity vs. time graph. Understanding the type of graph is crucial for interpreting the motion of the object.

If the graph is a position vs. time graph, observe the slope of the graph. A positive slope indicates motion in one direction, while a negative slope indicates motion in the opposite direction. If the slope changes sign, the object moves in both directions.

If the graph is a velocity vs. time graph, examine the sign of the velocity. A positive velocity indicates motion in one direction, while a negative velocity indicates motion in the opposite direction. If the velocity changes sign, the object moves in both directions.

Determine whether the graph shows any points where the slope (in a position vs. time graph) or the velocity (in a velocity vs. time graph) crosses zero. This crossing point indicates a change in direction.

Summarize your findings based on the graph's behavior. If the slope or velocity remains consistent in sign, the object moves in one direction. If it changes sign, the object moves in both directions during the time shown.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Motion Direction

Motion direction refers to the path along which an object moves. In physics, it is essential to determine whether an object is moving in a single direction or oscillating back and forth. This can be influenced by forces acting on the object, such as gravity or friction, and can be represented graphically to analyze the object's trajectory.

Kinematics

Kinematics is the branch of mechanics that deals with the motion of objects without considering the forces that cause the motion. It involves concepts such as displacement, velocity, and acceleration, which help describe how an object moves over time. Understanding kinematics is crucial for analyzing the motion depicted in diagrams or graphs.

Graphical Representation of Motion

Graphical representation of motion involves using graphs to illustrate an object's position, velocity, or acceleration over time. These graphs can show whether an object is moving in one direction or oscillating. Analyzing the slope and shape of these graphs provides insights into the nature of the object's motion, helping to answer questions about its behavior during a specific time interval.

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Related Practice

Textbook Question

The position of an object along a straight tunnel as a function of time is plotted in Fig. 2–40. What is its average velocity between t = 0 and t = 5.0 s?

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Textbook Question

(II) In Fig. 2–40, during what time intervals, if any, is the velocity constant?

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Textbook Question

In Fig. 2–40, at what time is the velocity greatest?

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Textbook Question

In Fig. 2–40, at what time, if any, is the velocity zero?

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Textbook Question

Figure 2–55 shows the position vs. time graph for two bicycles, A and B. Identify any instant at which the two bicycles have the same velocity.

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Textbook Question

Figure 2–55 shows the position vs. time graph for two bicycles, A and B. Which bicycle has the larger acceleration?

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Textbook Question

FIGURE EX1.18 shows the motion diagram of a drag racer. The camera took one frame every 2 s. Make a position-versus-time graph for the drag racer. Because you have data only at certain instants, your graph should consist of dots that are not connected together.

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Textbook Question

FIGURE EX2.4 is the position-versus-time graph of a bicycle. What is the bicycle's velocity at t = 5s

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