College Physics: A Strategic Approach Volume 1

Randall D. Knight, Brian Jones, Stuart Field

ISBN #9780321595492

2nd Edition

1,173 Questions

23,429 Students Helped

Homework Questions

Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This section on one-dimensional motion introduces core kinematic quantities—position, velocity, and acceleration—and illustrates how to interpret motion through various representations such as graphs and diagrams. By using signed quantities and understanding the relationship between the slope of the position graph and instantaneous velocity, as well as the area under the velocity graph representing displacement, students learn to analyze uniform and accelerated motion, including free fall. A systematic problem-solving strategy (prepare, solve, assess) is emphasized to tackle real-world motion problems effectively.

Learning Objectives

Key Concepts

CONCEPT

DEFINITION

Definition: The practical application of Newton’s three laws to analyze and solve problems involving static equilibrium and dynamic motion.

The practical application of Newton’s three laws to analyze and solve problems involving static equilibrium and dynamic motion. •

Example Problems

Example 1

Figure $\mathrm{P} 2.1$ shows a motion diagram of a car traveling down a street. The camera took one frame every second. A distance scale is provided. a. Measure the $x$ -value of the car at each dot. Place your data in a table, similar to Table 2.1 , showing each position and the instant of time at which it occurred. b. Make a graph of $x$ versus $t,$ using the data in your table. Because you have data only at certain instants of time, your graph should consist of dots that are not connected together.

Example 2

For each motion diagram in Figure $\mathrm{P} 2.2$, determine the sign (positive or negative) of the position and the velocity.

Example 3

Write a short description of the motion of a real object for which Figure $\mathrm{P} 2.3$ would be a realistic position-versus-time graph.

Example 4

Write a short description of the motion of a real object for which Figure $\mathrm{P} 2.4$ would be a realistic position-versus-time graph.

Example 5

The position graph of Figure $\mathrm{P} 2.5$ shows a dog slowly sneaking up on a squirrel, then putting on a burst of speed. a. For how many seconds does the dog move at the slower speed? b. Draw the dog's velocity-versus-time graph. Include a numerical scale on both axes.