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Plot the data in table 1 of a cart in motion. Determine its displacement and distance traveled. Calculate its maximum acceleration. Time (s) 0.0 1.0 2.0 3.0 4.0 5.0 6.0 Velocity (m/s) 0.0 2.0 4.0 4.0 4.0 0.0 0.0

Plot the data in table 1 of a cart in motion. Determine its displacement and distance traveled. Calculate its maximum acceleration. Time (s) 0.0 1.0 2.0 3.0 4.0 5.0 6.0 Velocity (m/s) 0.0 2.0 4.0 4.0 4.0 0.0 0.0

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**Problem Statement:** - Plot the data in Table 1 of a cart in motion. Determine its displacement and distance traveled. Calculate its maximum acceleration. **Table 1: Data for Problem #4** | Time (s) | Velocity (m/s) | |----------|----------------| | 0.0 | 0.0 | | 1.0 | 2.0 | | 2.0 | 4.0 | | 3.0 | 4.0 | | 4.0 | 4.0 | | 5.0 | 0.0 | | 6.0 | 0.0 | **Instructions for Plotting:** 1. **Plotting Data:** - Create a graph with Time (s) on the x-axis and Velocity (m/s) on the y-axis. - Mark each data point from Table 1 on the graph. 2. **Analyzing Displacement:** - Calculate the area under the velocity-time graph to determine the displacement. - Use the trapezoidal or rectangle method for more accurate calculations. 3. **Distance Traveled:** - Since the velocity is never negative, the total distance traveled is the same as the displacement in this case. 4. **Calculating Maximum Acceleration:** - Identify the segments where the velocity changes. - Calculate acceleration using the formula: \( \text{Acceleration} = \frac{\Delta \text{Velocity}}{\Delta \text{Time}} \). - Determine the maximum acceleration from the calculated values. **Detailed Explanation:** The table provides time-velocity data of a cart over a 6-second interval. At the start, the cart is stationary, accelerates to 4 m/s, maintains this speed, and then comes to a stop by the 5th second. The task involves plotting this data, analyzing the motion characteristics of the cart, and computing its acceleration metrics for educational purposes.
Transcribed Image Text:**Problem Statement:** - Plot the data in Table 1 of a cart in motion. Determine its displacement and distance traveled. Calculate its maximum acceleration. **Table 1: Data for Problem #4** | Time (s) | Velocity (m/s) | |----------|----------------| | 0.0 | 0.0 | | 1.0 | 2.0 | | 2.0 | 4.0 | | 3.0 | 4.0 | | 4.0 | 4.0 | | 5.0 | 0.0 | | 6.0 | 0.0 | **Instructions for Plotting:** 1. **Plotting Data:** - Create a graph with Time (s) on the x-axis and Velocity (m/s) on the y-axis. - Mark each data point from Table 1 on the graph. 2. **Analyzing Displacement:** - Calculate the area under the velocity-time graph to determine the displacement. - Use the trapezoidal or rectangle method for more accurate calculations. 3. **Distance Traveled:** - Since the velocity is never negative, the total distance traveled is the same as the displacement in this case. 4. **Calculating Maximum Acceleration:** - Identify the segments where the velocity changes. - Calculate acceleration using the formula: \( \text{Acceleration} = \frac{\Delta \text{Velocity}}{\Delta \text{Time}} \). - Determine the maximum acceleration from the calculated values. **Detailed Explanation:** The table provides time-velocity data of a cart over a 6-second interval. At the start, the cart is stationary, accelerates to 4 m/s, maintains this speed, and then comes to a stop by the 5th second. The task involves plotting this data, analyzing the motion characteristics of the cart, and computing its acceleration metrics for educational purposes.
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