he following data were obtained for the position of a ball as it rolled along a straight track

DISPLACEMENT (CM)
2.90
7.40
11.00
22.70
31.10

TIME
0.60
2.10
3.30
7.20
10.00

dx/dt = 28.2/9.4 = 3 cm/s for the whole trip

dx/dt = (11-2.9)/(3.3-.6) = 3 cm/s for part of the trip
so I suspect constant velocity of 3 cm/s or 0.03 m/s

@damon is that the answer in my table?

You did not ask any question.

To find the average velocity of the ball, you need to calculate the total displacement and the total time taken, and then divide the displacement by the time.

Step 1: Calculate the total displacement.
Add up all the values given for displacement: 2.90 + 7.40 + 11.00 + 22.70 + 31.10 = 75.10 cm.

Step 2: Calculate the total time taken.
Add up all the values given for time: 0.60 + 2.10 + 3.30 + 7.20 + 10.00 = 23.20 s.

Step 3: Calculate the average velocity.
Divide the total displacement (75.10 cm) by the total time (23.20 s): 75.10 cm รท 23.20 s = 3.24 cm/s.

Therefore, the average velocity of the ball as it rolled along the track is 3.24 cm/s.