Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds.
Express your answer in meters per second to the nearest integer.
Position versus time graph for an object traveling with a non-constant velocity. The time is in seconds on the horizontal axis and position in meters is given on the vertical axis. The following are approximate coordinate points on the curve: (1, 5), (2, 10), (3, 15), (4, 20), (5, 30), (6, 40)
The line is a cruve
1.5m/s
To determine the object's average velocity over the time interval from 2 to 4 seconds using the graph, we need to find the change in position and divide it by the change in time.
1. Identify the points on the graph that correspond to the start and end times of the interval. In this case, the start time is 2 seconds and the end time is 4 seconds.
2. Determine the corresponding positions on the graph for these times. From the given coordinates, we know that at 2 seconds, the position is 10 meters, and at 4 seconds, the position is 20 meters.
3. Calculate the change in position by subtracting the initial position from the final position. In this case, the change in position is 20 - 10 = 10 meters.
4. Calculate the change in time by subtracting the initial time from the final time. In this case, the change in time is 4 - 2 = 2 seconds.
5. Finally, divide the change in position by the change in time to find the average velocity. The average velocity is 10 meters / 2 seconds = 5 meters per second.
Therefore, the object's average velocity over the time interval from 2 to 4 seconds is 5 meters per second.
To determine the object's average velocity over the time interval from 2 to 4 seconds, we need to calculate the displacement of the object during this time and divide it by the time interval.
First, let's find the displacement of the object between 2 and 4 seconds. At 2 seconds, the position is 10 meters, and at 4 seconds, the position is 20 meters. The displacement is calculated by subtracting the initial position from the final position: 20 - 10 = 10 meters.
Next, we divide the displacement by the time interval (4 seconds - 2 seconds = 2 seconds) to find the average velocity: 10 meters / 2 seconds = 5 meters per second.
Therefore, the object's average velocity over the time interval from 2 to 4 seconds is approximately 5 meters per second.