1. Understand the Concepts
* Speed of Light: Radar signals travel at the speed of light (approximately 299,792,458 meters per second).
* Distance: The one-way distance to the moon is 3.8108 x 10^8 meters.
2. Calculate Total Distance
Since the signal travels to the moon and back, the total distance is twice the one-way distance:
Total distance = 2 * 3.8108 x 10^8 meters = 7.6216 x 10^8 meters
3. Calculate Time
Time = Distance / Speed
Time = (7.6216 x 10^8 meters) / (299,792,458 meters per second)
Time ≈ 2.54 seconds
Therefore, it takes approximately 2.54 seconds for a radar signal to travel to the moon and back.