To compare Usain Bolt's speed during the 2012 Olympic 100-meter race to the speed limit of 25 miles per hour, we first need to calculate his speed in meters per second.
Usain Bolt's time for the 100 meters was 9.63 seconds. Using the formula for speed:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
we can plug in the values:
\[ \text{Speed} = \frac{100 \text{ meters}}{9.63 \text{ seconds}} \approx 10.39 \text{ meters/second} \]
Next, we need to convert this speed into meters per hour to compare it with the speed limit, which is given as 40,234 meters per hour.
To convert from meters per second to meters per hour, we multiply by the number of seconds in an hour (3600 seconds):
\[ 10.39 \text{ meters/second} \times 3600 \text{ seconds/hour} = 37,524 \text{ meters/hour} \]
Now we can compare Usain Bolt's speed of 37,524 meters per hour to the speed limit of 40,234 meters per hour.
Since:
\[ 37,524 \text{ meters/hour} < 40,234 \text{ meters/hour} \]
we conclude that Usain Bolt's speed during the race (37,524 meters per hour) is less than the speed limit of 25 miles per hour.
Justification: To summarize, Usain Bolt's speed during the race of 10.39 meters/second translates to 37,524 meters/hour, which is below the speed limit of 40,234 meters/hour, so he would be compliant with the road speed limit if he were traveling at his Olympic sprinting speed.