1) The figure below shows the position of a particle versus time, with each line on the vertical axis representing 4.6 m. Find the average velocities for the time intervals a, b, c, and d indicated in the figure.

1. ___________ m/s (time interval a)

2) __________ m/s (time interval b)

3) _________ m/s (time interval c)

I am sorry Amanda this platform does not allow graphics to be added to your question. Thus without a graph there is no telling where a,b, and c are located.

To find the average velocities for the given time intervals, we need to determine the displacement and time elapsed during each interval.

1) To find the average velocity for time interval a, we first need to determine the displacement and time elapsed. The displacement can be found by subtracting the initial position (at the beginning of time interval a) from the final position (at the end of time interval a) on the position vs. time graph. The time elapsed is the duration of time interval a.

2) To find the average velocity for time interval b, we follow the same steps as before, but now for time interval b.

3) Similarly, for time interval c, we need to find the displacement and time elapsed.

We can then calculate the average velocity for each interval using the following formula:

Average Velocity = Displacement / Time Elapsed

Let's apply these steps to find the average velocities for each time interval in the figure.