Time (sec),Speed (cm per sec)
0,0.0
1,8.0
2,16.0
3,24.0
How did you find the pattern in this data
By observing the data, we can see that there is a linear relationship between the time and speed. When the time increases by 1 second, the speed increases by 8 cm per second. Therefore, the pattern is that the speed increases by 8 cm per second for each second of time.
To find the pattern in this data, we can start by looking at the relationship between the time and speed values.
By observing the data, we can see that the speed increases by 8 cm per second for every second that passes. This indicates a linear relationship between the time and speed.
To further confirm this pattern, we can perform a calculation:
For time t = 0, the speed is 0 cm per second.
For time t = 1, the speed is 8 cm per second.
For time t = 2, the speed is 16 cm per second.
Based on these values, we can see that the speed is increasing by 8 cm per second for every second that passes. This pattern is consistent for all the given time values.
Therefore, the pattern in this data is that the speed increases by 8 cm per second for every second that passes.
To find the pattern in this data, you can observe the relationship between time and speed.
Notice that as time increases by 1 second, the speed also increases by a consistent amount of 8.0 cm/sec.
This indicates a linear relationship between time and speed. In other words, the speed increases at a constant rate over time.
You can represent this relationship using an equation:
Speed = (Rate of Change) * Time + Initial Speed
Let's calculate the Rate of Change using the first two points of the data:
Time = 1 sec
Speed = 8.0 cm/sec
Using the equation:
8.0 = (Rate of Change) * 1 + Initial Speed
Now, let's use the second point to find the Initial Speed:
Time = 0 sec
Speed = 0.0 cm/sec
Plugging these values into the equation:
0.0 = (Rate of Change) * 0 + Initial Speed
From this equation, we can see that the Initial Speed is 0.0 cm/sec.
Now we have the equation:
Speed = (Rate of Change) * Time + 0.0
Substituting the Rate of Change from the first calculation:
Speed = 8.0 * Time
So, the pattern in the data is that the speed increases at a constant rate of 8.0 cm/sec over time.