To solve this problem, we need to determine the increase in speed of the cyclist over a time period of 5 seconds.
Step-by-Step Solution:
1. Identify the initial and final speeds:
- The initial speed of the cyclist is [tex]\(8 \, \text{m/s}\)[/tex].
- The final speed of the cyclist is [tex]\(12 \, \text{m/s}\)[/tex].
2. Calculate the increase in speed:
- The increase in speed is found by subtracting the initial speed from the final speed.
- Increase in speed = Final speed - Initial speed
3. Substitute the given values:
- Increase in speed = [tex]\(12 \, \text{m/s} - 8 \, \text{m/s}\)[/tex]
4. Perform the subtraction:
- Increase in speed = [tex]\(4 \, \text{m/s}\)[/tex]
Therefore, the increase in speed over the 5-second period is [tex]\(4 \, \text{m/s}\)[/tex].
