An object travels at a constant velocity of 3 m/s for 8 seconds. Create a velocity vs. time graph for this situation by clicking and dragging each point to its correct location

To create a velocity vs. time graph for the scenario described, you'll want to plot points based on the constant velocity and the time duration. **Here’s how to graph it:** 1. **X-axis (Time):** This will represent time in seconds. You can label it from 0 seconds to 8 seconds, with increments of 1 second. 2. **Y-axis (Velocity):** This will represent velocity in meters per second (m/s). You can label it with 0 m/s and an increment up to at least 4 m/s to comfortably fit the data point. 3. **Plotting Points:** - At time 0 seconds, the velocity is 3 m/s. So, you will plot a point at (0, 3). - At time 1 second, the velocity is still 3 m/s. Plot another point at (1, 3). - Continue this for all time points up to 8 seconds. You will have points at (2, 3), (3, 3), (4, 3), (5, 3), (6, 3), (7, 3), and (8, 3). 4. **Connecting the Points:** Since the object is traveling at a constant velocity, you will connect all these points with a horizontal line across the graph at the height of 3 m/s. The resulting graph will be a horizontal line at the velocity of 3 m/s from time 0 seconds to 8 seconds on the time axis. If you're trying to visualize it, it would look something like this: ``` Velocity (m/s) | | ---------- (line at y = 3 m/s) | | | | | | |_______|________________________ 0 1 2 3 4 5 6 7 8 Time (s) ``` This graph depicts a constant velocity over the time interval of 8 seconds. Update (2024-11-06): Sure! Since I can't create visual content directly, I can help you visualize how to create a velocity vs. time graph for the scenario you described. ### Graph Construction: 1. **Axes**: - The **x-axis** (horizontal) will represent time (in seconds). - The **y-axis** (vertical) will represent velocity (in meters per second). 2. **Scale**: - On the x-axis, mark ticks for every second from 0 to 8 seconds. - On the y-axis, mark ticks for every meter per second from 0 to 3 meters per second. 3. **Plotting Points**: - At time \( t = 0 \) seconds, the velocity \( v = 3 \) m/s. - At time \( t = 1 \) second, the velocity \( v = 3 \) m/s. - At time \( t = 2 \) seconds, the velocity \( v = 3 \) m/s. - At time \( t = 3 \) seconds, the velocity \( v = 3 \) m/s. - At time \( t = 4 \) seconds, the velocity \( v = 3 \) m/s. - At time \( t = 5 \) seconds, the velocity \( v = 3 \) m/s. - At time \( t = 6 \) seconds, the velocity \( v = 3 \) m/s. - At time \( t = 7 \) seconds, the velocity \( v = 3 \) m/s. - At time \( t = 8 \) seconds, the velocity \( v = 3 \) m/s. 4. **Connecting Points**: - Since the velocity is constant, all points will align horizontally at the level of 3 m/s. Draw a horizontal line across the graph at \( v = 3 \) m/s from \( t = 0 \) to \( t = 8 \) seconds. ### Visualization: - You should see a straight horizontal line at the height of 3 m/s on the y-axis from x = 0 to x = 8 seconds. This illustrates that the object maintained a constant velocity of 3 m/s throughout the time period. If you have graphing software or paper, you can use the instructions above to create your graph!