A graph where x is on the y axis and time is on the x axis, the points are (0,0) (10,2) (5,4) (5,5) (-5,7) and (0,8) find the average velocity in the time intervals from 4.00 seconds to 7.00 seconds

To find the average velocity in the time intervals from 4.00 seconds to 7.00 seconds, we need to calculate the change in position divided by the change in time.

First, let's plot the given points on a graph:

(0,0), (10,2), (5,4), (5,5), (-5,7), (0,8)

Now, let's focus on the time intervals from 4.00 seconds to 7.00 seconds.

The points within this time interval are (5,4), (5,5), and (-5,7).

To calculate the change in position, we need to find the difference in the x-coordinate of the starting and ending points within this time interval. In this case, it would be the difference between 5 and -5, which is 10.

To calculate the change in time, we know that the time interval is from 4.00 seconds to 7.00 seconds, so the difference in time is 7.00 seconds - 4.00 seconds = 3.00 seconds.

Now, we can calculate the average velocity by dividing the change in position by the change in time:

Average velocity = change in position / change in time
Average velocity = 10 / 3
Average velocity ≈ 3.33

Therefore, the average velocity in the time interval from 4.00 seconds to 7.00 seconds is approximately 3.33.