### Position vs. Time and Velocity vs. Time Graphs#### IntroductionUnderstanding the relationship between position, time, and velocity is crucial in physics, especially in kinematics, which deals with the motion of objects. Below, is a graph representing the position versus time (distance-time) for an object and a corresponding graph that you'll create to represent the velocity versus time for the same object.#### Position vs. Time Graph ExplanationThe **left graph** is a **Position vs. Time graph**:- The y-axis represents **Position (m)** measured in meters.- The x-axis represents **Time (s)** measured in seconds.The graph has the following key points:- From 0 seconds to 5 seconds, the position increases from 0 meters to 20 meters, indicating the object is moving away from the origin.- From 5 seconds to 10 seconds, the position remains constant at 20 meters, indicating the object is stationary.- From 10 seconds to 15 seconds, the position increases from 20 meters to 50 meters, indicating the object is moving away again.- From 15 seconds to 20 seconds, the position decreases from 50 meters back to 0 meters, indicating the object is returning to the origin.#### Velocity vs. Time Graph ExplanationUsing the Position vs. Time graph, we can derive the **Velocity vs. Time graph** as follows:The **right graph** is a **Velocity vs. Time graph**:- The y-axis represents **Velocity (m/s)** measured in meters per second.- The x-axis represents **Time (s)** measured in seconds.For each segment in the Position vs. Time graph, the velocity can be calculated by the formula:\[ \text{Velocity} = \frac{\Delta \text{Position}}{\Delta \text{Time}} \]Based on this, we find:- **From 0 to 5 seconds**: - Position changes from 0 m to 20 m. - Time interval is 5 seconds. - Velocity: \( \frac{20 \text{ m} - 0 \text{ m}}{5 \text{ s} - 0 \text{ s}} = 4 \text{ m/s} \) - The velocity is constant at 4 m/s.- **From 5 to 10 seconds**: - Position remains constant at 20 m.

Name: ### Position vs. Time and Velocity vs. Time Graphs#### IntroductionUn
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: ### Position vs. Time and Velocity vs. Time Graphs#### IntroductionUnderstanding the relationship between position, time, and velocity is crucial in physics, especially in kinematics, which deals with the motion of objects. Below, is a graph represe