Answered: When do objects 1 and 2 have the same…

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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When do objects 1 and 2 have the same velocity

(See attached image.)

At the same time before t0

At time t0

Never

At some time after t0

$**Question:** When do objects 1 and 2 have the same velocity? **Graph Explanation:** The graph is a position-time (x-t) graph depicting the motion of two objects labeled as 1 and 2. The x-axis represents time (t), while the y-axis represents position (x). - **Line 1**: This line shows the trajectory of object 1. The curve is upward-sloping and appears to have a consistently increasing slope, indicating that the velocity of object 1 is increasing over time. - **Line 2**: This line represents the motion of object 2. It has a different path and curvature, indicating a different velocity profile. The slope of line 2 also changes, suggesting a varying velocity. - **Intersection Point**: There is a vertical dashed line at the time $ t_0 $. At this point, the tangents to both curves (representing the velocities of objects 1 and 2) have the same slope. This is where both objects have the same velocity. In summary, objects 1 and 2 have the same velocity at the time $ t_0 $, indicated by the vertical line where their respective slopes match.$

Transcribed Image Text:**Question:** When do objects 1 and 2 have the same velocity? **Graph Explanation:** The graph is a position-time (x-t) graph depicting the motion of two objects labeled as 1 and 2. The x-axis represents time (t), while the y-axis represents position (x). - **Line 1**: This line shows the trajectory of object 1. The curve is upward-sloping and appears to have a consistently increasing slope, indicating that the velocity of object 1 is increasing over time. - **Line 2**: This line represents the motion of object 2. It has a different path and curvature, indicating a different velocity profile. The slope of line 2 also changes, suggesting a varying velocity. - **Intersection Point**: There is a vertical dashed line at the time $ t_0 $. At this point, the tangents to both curves (representing the velocities of objects 1 and 2) have the same slope. This is where both objects have the same velocity. In summary, objects 1 and 2 have the same velocity at the time $ t_0 $, indicated by the vertical line where their respective slopes match.

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