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An object begins at position x = 0 and moves one-dimensionally along the x-axis with a velocity v expressed as a function of time t according to the graph above. At what time does the object pass through x = 0 again?   A: Between 10 s and 20 s B: Between 20 s and 30 s C: At 30 s exactly D: Between 30 s and 40 s E: After 40 s

An object begins at position x = 0 and moves one-dimensionally along the x-axis with a velocity v expressed as a function of time t according to the graph above. At what time does the object pass through x = 0 again?   A: Between 10 s and 20 s B: Between 20 s and 30 s C: At 30 s exactly D: Between 30 s and 40 s E: After 40 s

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An object begins at position x = 0 and moves one-dimensionally along the x-axis with a velocity v expressed as a function of time t according to the graph above. At what time does the object pass through x = 0 again?

 

A: Between 10 s and 20 s

B: Between 20 s and 30 s

C: At 30 s exactly

D: Between 30 s and 40 s

E: After 40 s

The image displays a velocity-time graph for an object's motion. Below is a detailed explanation of the graph: ### Axes: - **Vertical Axis (y-axis):** Represents velocity \( v \) in meters per second (m/s), ranging from -20 m/s to 20 m/s. - **Horizontal Axis (x-axis):** Represents time \( t \) in seconds (s), marked from 0 to 40 seconds. ### Graph Description: 1. **Time 0 to 10 seconds:** - The velocity increases from 0 to 20 m/s, forming a straight, upward slope. - This indicates constant acceleration. 2. **Time 10 to 20 seconds:** - The velocity decreases from 20 m/s back to 0 m/s, forming a straight, downward slope. - This indicates constant deceleration back to rest. 3. **Time 20 to 30 seconds:** - The velocity continues decreasing to -20 m/s, forming another straight, downward slope. - This represents a continuation of deceleration past rest to a negative velocity, indicating a change in direction. 4. **Time 30 to 40 seconds:** - The velocity remains constant at -20 m/s. - This indicates uniform motion in the reverse direction. Overall, the graph outlines a sequence of acceleration, deceleration, change in direction, and uniform motion.
Transcribed Image Text:The image displays a velocity-time graph for an object's motion. Below is a detailed explanation of the graph: ### Axes: - **Vertical Axis (y-axis):** Represents velocity \( v \) in meters per second (m/s), ranging from -20 m/s to 20 m/s. - **Horizontal Axis (x-axis):** Represents time \( t \) in seconds (s), marked from 0 to 40 seconds. ### Graph Description: 1. **Time 0 to 10 seconds:** - The velocity increases from 0 to 20 m/s, forming a straight, upward slope. - This indicates constant acceleration. 2. **Time 10 to 20 seconds:** - The velocity decreases from 20 m/s back to 0 m/s, forming a straight, downward slope. - This indicates constant deceleration back to rest. 3. **Time 20 to 30 seconds:** - The velocity continues decreasing to -20 m/s, forming another straight, downward slope. - This represents a continuation of deceleration past rest to a negative velocity, indicating a change in direction. 4. **Time 30 to 40 seconds:** - The velocity remains constant at -20 m/s. - This indicates uniform motion in the reverse direction. Overall, the graph outlines a sequence of acceleration, deceleration, change in direction, and uniform motion.
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