Suppose a marble rolls back and forth along a straight line, with a positive velocity indicating motion to the right. The graph below shows the velocity function v (t) of the marble, where v is measured in feet per second, and t is measured in seconds. 2 4 10 12 14 16 -5 1. Evaluate v(t) dt and write a sentence or two explaining what it tells us about the marble's journey so far. 2. Determine the displacement of the marble over the entire 16 seconds. 3. Is the distance traveled by the marble the same, over those 16 seconds, as its displacement? How can you tell whether that is true by looking at the graph of v(t)? If those values are different, determine the distance traveled, as well.

Suppose a marble rolls back and forth along a straight line, with a positive velocity indicating motion to the right. The graph below shows the velocity function v (t) of the marble, where v is measured in feet per second, and t is measured in seconds. 2 4 10 12 14 16 -5 1. Evaluate v(t) dt and write a sentence or two explaining what it tells us about the marble's journey so far. 2. Determine the displacement of the marble over the entire 16 seconds. 3. Is the distance traveled by the marble the same, over those 16 seconds, as its displacement? How can you tell whether that is true by looking at the graph of v(t)? If those values are different, determine the distance traveled, as well.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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