Introduction to Calculus Book 1: Practice Workbook with worked examples and practice problems by Frey Nathan

Author:Frey, Nathan [Frey, Nathan]
Language: eng
Format: epub
Published: 2020-06-14T16:00:00+00:00

Interpreting Motion Graphs

Ex. 1 Here we will analyze the graph below. The graph gives the motion of a particle moving horizontally for 10 seconds. Determine when the particle is moving forward and when the particle is moving backward.

Solution: This graph gives the position (in meters) of a particle over time (in seconds). The graph will be moving forward when it has a positive velocity. It will be moving backwards when it has a negative velocity. We can find the velocity from this graph by looking at the slopes of the lines. The slope of the left side from t = 0 to t = 6, has a slope of 1/2. The slope on the right side from t = 6 to t = 10 is – 2. Therefore, the particle is moving forward on the interval (0, 6). The particle is moving backward on the interval (6, 10). Notice that at t = 6, the particle switched directions.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.