A ball rolling down an incline travels 6.0 m in the first 0.25 seconds, and 24 m in the first 0.50 seconds.

Find: The average speed for the first time interval

6/0.25 = 24 m/s (average)

To find the average speed for the first time interval, you need to divide the total distance traveled by the ball by the total time taken in that interval.

Given the following information:
- The ball traveled 6.0 m in the first 0.25 seconds.
- The ball traveled 24 m in the first 0.50 seconds.

You can use the formula for average speed:
Average Speed = Total Distance / Total Time

To find the average speed for the first 0.25 seconds, you divide the distance traveled (6.0 m) by the time taken (0.25 s):

Average Speed = 6.0 m / 0.25 s

Calculating this, we get:

Average Speed = 24 m/s

Therefore, the average speed for the first time interval is 24 m/s.