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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Multiple Choice

The position-time graph for a moving box is shown below.

(a) What is the box's average velocity from 0 to 5s?
(b) What is the box's average velocity from 0 to 8s?
(c) What is the box's velocity in the interval where it's moving fastest?

(a) 0 m/s; (b) 0 m/s; (c) 4 m/s

(a) 4.4 m/s; (b) 3 m/s; (c) 11 m/s

(a) -1.2 m/s; (b) 3 m/s; (c) 4 m/s

(a) -1.2 m/s; (b) 0 m/s; (c) -11 m/s

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Verified step by step guidance

To find the average velocity from 0 to 5 seconds, identify the initial and final positions on the graph at these times. The average velocity is calculated using the formula:

x

_f-x_it_f-t_i, where

x

_f and

x

_i are the final and initial positions, and

t

_f and

t

_i are the final and initial times.

For the average velocity from 0 to 8 seconds, use the same formula as above. Determine the initial position at 0 seconds and the final position at 8 seconds from the graph. Substitute these values into the formula to find the average velocity.

To find the interval where the box is moving fastest, look for the steepest slope on the position-time graph. The steepest slope indicates the highest velocity. Calculate the velocity in this interval using the formula:

x

_f-x_it_f-t_i.

Examine the graph to identify the segments where the box changes direction or speed. These segments will help you determine the intervals for calculating average velocities and the fastest movement.

Compare the calculated velocities from each interval to determine which one corresponds to the box moving fastest. This involves analyzing the slopes of each segment on the graph and identifying the maximum value.