Time (sec),Speed (cm per sec)

0,0.0
1,8.0
2,16.0
3,24.0 What pattern u see in the speed data

The pattern observed in the speed data is that the speed increases uniformly by 8 cm per second for every second that passes.

In the given speed data, there is a constant increase of 8.0 cm per second for each second that passes. This means that the speed is increasing linearly with time.

To identify any patterns in the speed data, you can observe the relationship between the time and speed measurements.

In this case, the speed increases by 8.0 cm per second for every 1-second increase in time. This indicates that the speed is increasing linearly with time.

To confirm this pattern, you can calculate the rate of change or slope of the speed data points. The slope can be calculated by taking the difference in speed divided by the difference in time between two consecutive data points:

Slope = (Speed2 - Speed1) / (Time2 - Time1)

Let's calculate the slope for the given data points:

For time = 1 sec to 0 sec:
Slope = (8.0 cm/s - 0.0 cm/s) / (1 sec - 0 sec) = 8.0 cm/s

For time = 2 sec to 1 sec:
Slope = (16.0 cm/s - 8.0 cm/s) / (2 sec - 1 sec) = 8.0 cm/s

For time = 3 sec to 2 sec:
Slope = (24.0 cm/s - 16.0 cm/s) / (3 sec - 2 sec) = 8.0 cm/s

As you can see, the slope of 8.0 cm per second is the same for all intervals. This further confirms that the speed is increasing linearly with time.

Therefore, the pattern in the speed data is a constant increase of 8.0 cm per second for every 1-second increment in time.