A graph shows points at (0,0) (10,2) (5,4) (5,5) (-5,7) and (0,8) find the average velocity in the time intervals from 0 to 2.00 s, the average velocity in the time intervals from 0 to 4.00 s
To find the average velocity in a given time interval, we need to calculate the displacement during that time interval and divide it by the duration of the interval.
1. Average velocity from 0 to 2.00 seconds:
The initial point is (0, 0) and the final point is (10, 2).
The displacement can be calculated by subtracting the initial coordinates from the final coordinates:
Displacement = (10 - 0, 2 - 0) = (10, 2)
The duration of the interval is 2.00 seconds.
Average velocity = Displacement / Duration = (10, 2) / 2.00 = (5, 1)
Therefore, the average velocity from 0 to 2.00 seconds is (5, 1).
2. Average velocity from 0 to 4.00 seconds:
The initial point is still (0, 0), but the final point is now (0, 8).
The displacement can be calculated by subtracting the initial coordinates from the final coordinates:
Displacement = (0 - 0, 8 - 0) = (0, 8)
The duration of the interval is 4.00 seconds.
Average velocity = Displacement / Duration = (0, 8) / 4.00 = (0, 2)
Therefore, the average velocity from 0 to 4.00 seconds is (0, 2).