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The graph shows how the velocity of a car changes between time t = 0 and a later time tg as the car travels along a straight stretch of highway. The displacement of the car between timet = 0 and time to is -214 m. The values of the velocities and other times indicated or the graph are as follows: t1 10.8 s t2 = 16.3 s t3 = ? t4 = 29.5 s t5 = 35.2 s to = 39 s t7 = 50 s ts = 66 s vo = 14.8 m/s V3 = ?

The graph shows how the velocity of a car changes between time t = 0 and a later time tg as the car travels along a straight stretch of highway. The displacement of the car between timet = 0 and time to is -214 m. The values of the velocities and other times indicated or the graph are as follows: t1 10.8 s t2 = 16.3 s t3 = ? t4 = 29.5 s t5 = 35.2 s to = 39 s t7 = 50 s ts = 66 s vo = 14.8 m/s V3 = ?

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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### Analysis of Car Velocity Changes Over Time The graph shows how the velocity of a car changes between time \( t = 0 \) and a later time \( t_8 \) as the car travels along a straight stretch of highway. The displacement of the car between time \( t = 0 \) and time \( t_6 \) is \(-214 \, \text{m} \). The values of the velocities and other times indicated on the graph are as follows: - \( t_1 = 10.8 \, \text{s} \) - \( t_2 = 16.3 \, \text{s} \) - \( t_3 = ? \) - \( t_4 = 29.5 \, \text{s} \) - \( t_5 = 35.2 \, \text{s} \) - \( t_6 = 39 \, \text{s} \) - \( t_7 = 50 \, \text{s} \) - \( t_8 = 66 \, \text{s} \) - \( v_0 = 14.8 \, \text{m/s} \) - \( v_3 = ? \) - \( v_7 = 36.6 \, \text{m/s} \) #### Tasks to Determine: (a) **The acceleration of the car at \( t = t_2 \):** \[ \boxed{ \, \text{m/s}^2 \, } \]
Transcribed Image Text:### Analysis of Car Velocity Changes Over Time The graph shows how the velocity of a car changes between time \( t = 0 \) and a later time \( t_8 \) as the car travels along a straight stretch of highway. The displacement of the car between time \( t = 0 \) and time \( t_6 \) is \(-214 \, \text{m} \). The values of the velocities and other times indicated on the graph are as follows: - \( t_1 = 10.8 \, \text{s} \) - \( t_2 = 16.3 \, \text{s} \) - \( t_3 = ? \) - \( t_4 = 29.5 \, \text{s} \) - \( t_5 = 35.2 \, \text{s} \) - \( t_6 = 39 \, \text{s} \) - \( t_7 = 50 \, \text{s} \) - \( t_8 = 66 \, \text{s} \) - \( v_0 = 14.8 \, \text{m/s} \) - \( v_3 = ? \) - \( v_7 = 36.6 \, \text{m/s} \) #### Tasks to Determine: (a) **The acceleration of the car at \( t = t_2 \):** \[ \boxed{ \, \text{m/s}^2 \, } \]
## Understanding Car Velocity Over Time The following analysis details how the velocity of a car changes with respect to time as it travels along a straight stretch of highway. This is illustrated through a velocity-time graph. ### Graph Explanation The graph comprises a horizontal axis labeled \( t \) (time) and a vertical axis labeled \( v(t) \) (velocity). Key points on the graph highlight different velocities and times: - The vertical points: \( v_0 \) (starting velocity), \( v_3 \) (a lower velocity), and \( v_7 \) (a higher velocity). - The horizontal points: \( t_1, t_2, t_3, t_4, t_5, t_6, t_7, \) and \( t_8 \), which signify different moments in time. Initially, the car starts with a velocity of \( v_0 \) at \( t = 0 \). Over time, the car's velocity follows a non-linear trajectory, demonstrating acceleration and deceleration: 1. **From \( t = 0 \) to \( t_1 \)**: The velocity decreases linearly from \( v_0 \) to \( v_3 \). 2. **From \( t_1 \) to \( t_2 \)**: The car maintains a steady velocity of \( v_3 \). 3. **From \( t_2 \) to \( t_3 \)**: The velocity increases linearly toward \( v_0 \). 4. **From \( t_3 \) to \( t_4 \)**: The car maintains the steady velocity \( v_0 \). 5. **From \( t_4 \) to \( t_5 \)**: There is a linear increase in velocity until it reaches \( v_7 \). 6. **From \( t_5 \) to \( t_6 \)**: The velocity decreases back to \( v_0 \). 7. **From \( t_6 \) to \( t_7 \)**: The car maintains a steady velocity of \( v_0 \). 8. **From \( t_7 \) to \( t_8 \)**: The velocity decreases down to 0. ### Provided Data Points - \( t_1 = 10.8 \) s - \( t_2 = 16.3 \) s - \( t_
Transcribed Image Text:## Understanding Car Velocity Over Time The following analysis details how the velocity of a car changes with respect to time as it travels along a straight stretch of highway. This is illustrated through a velocity-time graph. ### Graph Explanation The graph comprises a horizontal axis labeled \( t \) (time) and a vertical axis labeled \( v(t) \) (velocity). Key points on the graph highlight different velocities and times: - The vertical points: \( v_0 \) (starting velocity), \( v_3 \) (a lower velocity), and \( v_7 \) (a higher velocity). - The horizontal points: \( t_1, t_2, t_3, t_4, t_5, t_6, t_7, \) and \( t_8 \), which signify different moments in time. Initially, the car starts with a velocity of \( v_0 \) at \( t = 0 \). Over time, the car's velocity follows a non-linear trajectory, demonstrating acceleration and deceleration: 1. **From \( t = 0 \) to \( t_1 \)**: The velocity decreases linearly from \( v_0 \) to \( v_3 \). 2. **From \( t_1 \) to \( t_2 \)**: The car maintains a steady velocity of \( v_3 \). 3. **From \( t_2 \) to \( t_3 \)**: The velocity increases linearly toward \( v_0 \). 4. **From \( t_3 \) to \( t_4 \)**: The car maintains the steady velocity \( v_0 \). 5. **From \( t_4 \) to \( t_5 \)**: There is a linear increase in velocity until it reaches \( v_7 \). 6. **From \( t_5 \) to \( t_6 \)**: The velocity decreases back to \( v_0 \). 7. **From \( t_6 \) to \( t_7 \)**: The car maintains a steady velocity of \( v_0 \). 8. **From \( t_7 \) to \( t_8 \)**: The velocity decreases down to 0. ### Provided Data Points - \( t_1 = 10.8 \) s - \( t_2 = 16.3 \) s - \( t_
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