The graph represents velocity over time.
A graph with horizontal axis time (seconds) and vertical axis velocity (meters per second). A line runs from 0 seconds 2 meters to 100 seconds 22 meters.
What is the acceleration?
–0.4 m/s2
–0.2 m/s2
0.2 m/s2
0.4 m/s2
To find the acceleration, we need to calculate the change in velocity over the change in time.
The change in velocity is the difference in the final velocity and the initial velocity. In this case, the final velocity is 22 m/s and the initial velocity is 2 m/s. So, the change in velocity is 22 m/s - 2 m/s = 20 m/s.
The change in time is the difference in the final time and the initial time. In this case, the final time is 100 seconds and the initial time is 0 seconds. So, the change in time is 100 seconds - 0 seconds = 100 seconds.
Now, we can calculate the acceleration by dividing the change in velocity by the change in time:
acceleration = change in velocity / change in time
acceleration = 20 m/s / 100 seconds
acceleration = 0.2 m/s^2
Hence, the acceleration is 0.2 m/s^2.