Final answer:
By converting 24 kilometers per minute into meters per second using the relationship of 1000 meters in a kilometer and 60 seconds in a minute, we calculate that the motorcycle can travel at 400 meters per second.
Step-by-step explanation:
To determine how far the motorcycle can travel in meters per second, we will convert 24 kilometers per minute into meters per second. There are 60 seconds in a minute and 1000 meters in a kilometer, so we will use these conversion factors:
Distance in meters per second = (Distance in kilometers per minute) × (1000 meters per kilometer) / (60 seconds per minute)
Plugging in the given values:
Distance in meters per second = (24 km/min) × (1000 m/km) / (60 s/min)
= (24 × 1000) / 60
= 24000 / 60
= 400 meters per second
Therefore, the correct answer is (a) 400 meters per second.