Final answer:
The displacement that a cyclist would travel in 5.00 hours at an average velocity of 12 kilometers/hour to the Southwest is 60000 meters. None of the provided answer choices match this calculated displacement.
Step-by-step explanation:
To calculate the displacement in meters that a cyclist would travel in 5.00 hours at an average velocity of 12 kilometers/hour to the Southwest, we start by converting the average velocity into meters per second. Since 1 kilometer is equal to 1000 meters and 1 hour is equal to 3600 seconds, the conversion is as follows:
Average velocity (in m/s) = 12 km/h × (1000 m/km) / (3600 s/h)
However, to find the displacement after 5.00 hours, we can directly convert the average velocity to meters per hour since that is the unit of time we are working with:
Average velocity (in m/h) = 12 km/h × 1000 m/km
This gives us 12000 meters per hour. We can then multiply this by the time in hours to find the displacement:
Displacement (in meters) = 12000 m/h × 5.00 h
Displacement (in meters) = 60000 meters
Since the question asks for displacement to the Southwest, the correct answer is 60000 meters to the Southwest. Among the given options, none of them corresponds to the correct displacement calculated. Therefore, the correct option is not listed.