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

Graphing Position, Velocity, and Acceleration Graphs

Physics

2. 1D Motion / Kinematics

Graphing Position, Velocity, and Acceleration Graphs

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Multiple Choice

Which of the following statements is supported by the data in the graph showing position, velocity, and acceleration over time?

The object's position graph is a straight line when the velocity is increasing.

The object's velocity is zero when the acceleration graph is at its maximum.

The object is moving at a constant velocity.

The object's acceleration is zero when the velocity graph is a horizontal line.

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Verified step by step guidance

Understand the relationship between position, velocity, and acceleration: Position is the integral of velocity, and velocity is the integral of acceleration. Conversely, acceleration is the derivative of velocity, and velocity is the derivative of position.

Analyze the statement: 'The object's acceleration is zero when the velocity graph is a horizontal line.' A horizontal line on a velocity-time graph indicates constant velocity, meaning there is no change in velocity over time.

Recall that acceleration is defined as the rate of change of velocity with respect to time. Mathematically, this is expressed as:

a = \frac{d v}{d t}

, where

a

is acceleration,

v

is velocity, and

t

is time.

If the velocity is constant, the derivative of velocity with respect to time is zero, which means the acceleration is zero. This supports the statement that the object's acceleration is zero when the velocity graph is a horizontal line.

Conclude that the correct interpretation of the graph is that when the velocity graph is a horizontal line, indicating constant velocity, the acceleration must be zero, as there is no change in velocity over time.