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 2.00 seconds to 4.00 seconds
To find the average velocity in the time intervals from 2.00 seconds to 4.00 seconds, we need to calculate the change in position divided by the change in time for that interval.
Let's first focus on the points within the given time interval: (10,2), (5,4), and (5,5).
Using the formula for average velocity:
Average velocity = (change in position)/(change in time)
For the time interval from 2.00 seconds to 4.00 seconds, the change in time is 4 - 2 = 2 seconds.
Now, let's calculate the change in position within this interval:
For the point (10,2) at t = 2.00 seconds, the x-coordinate is 10 and the y-coordinate is 2.
For the point (5,4) at t = 3.00 seconds, the x-coordinate is 5 and the y-coordinate is 4.
For the point (5,5) at t = 4.00 seconds, the x-coordinate is 5 and the y-coordinate is 5.
Therefore, the change in position within the time interval from 2.00 seconds to 4.00 seconds is:
Change in x = 5 - 10 = -5 and
Change in y = 5 - 2 = 3.
Now, we can calculate the average velocity:
Average velocity = (change in x)/(change in time) = (-5)/(2) = -2.5 units per second
So, the average velocity in the time interval from 2.00 seconds to 4.00 seconds is -2.5 units per second.