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he figure shows the graph of vy versus time for an object moving along the x-axis. What is the acceleration ay at t= 7.0 s? (m/s) 40 20 2. 10 12 14 I(s)

he figure shows the graph of vy versus time for an object moving along the x-axis. What is the acceleration ay at t= 7.0 s? (m/s) 40 20 2. 10 12 14 I(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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The figure shows the graph of \( v_x \) versus time for an object moving along the x-axis. The question asks: "What is the acceleration \( a_x \) at \( t = 7.0 \, \text{s} \)?" ### Graph Description: - **Axes:** - The x-axis represents time, \( t \), in seconds (s), with markings from 0 to 14 seconds. - The y-axis represents velocity, \( v_x \), in meters per second (m/s), ranging from 0 to 50 m/s. - **Graph Plot:** - The velocity starts at 0 m/s at \( t = 0 \, \text{s} \). - It increases linearly to 40 m/s at \( t = 5 \, \text{s} \). - It then decreases linearly back to 0 m/s at \( t = 10 \, \text{s} \). - The velocity stays at 0 m/s from \( t = 10 \, \text{s} \) to \( t = 14 \, \text{s} \). ### Question: The problem asks for the acceleration \( a_x \) at \( t = 7.0 \, \text{s} \). ### Multiple Choice Options: - \( 4.0 \, \text{m/s}^2 \) - \( 5.0 \, \text{m/s}^2 \) To solve this, observe the slope of the velocity-time graph at \( t = 7 \, \text{s} \). The slope of the velocity graph corresponds to the acceleration. At \( t = 7.0 \, \text{s} \), the velocity is decreasing linearly from 40 m/s to 0 m/s over 5 seconds, indicating a constant negative acceleration.
Transcribed Image Text:The figure shows the graph of \( v_x \) versus time for an object moving along the x-axis. The question asks: "What is the acceleration \( a_x \) at \( t = 7.0 \, \text{s} \)?" ### Graph Description: - **Axes:** - The x-axis represents time, \( t \), in seconds (s), with markings from 0 to 14 seconds. - The y-axis represents velocity, \( v_x \), in meters per second (m/s), ranging from 0 to 50 m/s. - **Graph Plot:** - The velocity starts at 0 m/s at \( t = 0 \, \text{s} \). - It increases linearly to 40 m/s at \( t = 5 \, \text{s} \). - It then decreases linearly back to 0 m/s at \( t = 10 \, \text{s} \). - The velocity stays at 0 m/s from \( t = 10 \, \text{s} \) to \( t = 14 \, \text{s} \). ### Question: The problem asks for the acceleration \( a_x \) at \( t = 7.0 \, \text{s} \). ### Multiple Choice Options: - \( 4.0 \, \text{m/s}^2 \) - \( 5.0 \, \text{m/s}^2 \) To solve this, observe the slope of the velocity-time graph at \( t = 7 \, \text{s} \). The slope of the velocity graph corresponds to the acceleration. At \( t = 7.0 \, \text{s} \), the velocity is decreasing linearly from 40 m/s to 0 m/s over 5 seconds, indicating a constant negative acceleration.
The image appears to show a multiple-choice question interface, likely from an online educational quiz or test. The question seems to involve physics or related topics, focusing on acceleration, as indicated by the unit \( \text{m/s}^2 \). Here are the options provided: 1. \( 4.0 \, \text{m/s}^2 \) 2. \( 5.0 \, \text{m/s}^2 \) 3. \( 0.5 \, \text{m/s}^2 \) 4. \( 0.4 \, \text{m/s}^2 \) At the bottom, there is navigation indicating that this is question 14 out of a total of 15 questions. Navigation options include "Prev" for the previous question or "Next" for proceeding to the next question. The interface is simple and typical for online quizzes, featuring radio buttons for selecting an answer.
Transcribed Image Text:The image appears to show a multiple-choice question interface, likely from an online educational quiz or test. The question seems to involve physics or related topics, focusing on acceleration, as indicated by the unit \( \text{m/s}^2 \). Here are the options provided: 1. \( 4.0 \, \text{m/s}^2 \) 2. \( 5.0 \, \text{m/s}^2 \) 3. \( 0.5 \, \text{m/s}^2 \) 4. \( 0.4 \, \text{m/s}^2 \) At the bottom, there is navigation indicating that this is question 14 out of a total of 15 questions. Navigation options include "Prev" for the previous question or "Next" for proceeding to the next question. The interface is simple and typical for online quizzes, featuring radio buttons for selecting an answer.
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The slope of velocity time graph is called the instantaneous acceleration.

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