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During an experiment, a signal from a spaceship reached the ground station in 5 minutes. what was the distance of the spaceship from the ground station? the signal travels at the speed of light, that is 3×10^8 m/s?
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During an experiment, a signal from a spaceship reached the ground sta...
Understanding the Problem
To determine the distance of the spaceship from the ground station, we can use the formula for distance, which is derived from the relationship between speed, distance, and time.
Formula for Distance
The basic formula is:
Distance = Speed × Time
Here, the speed of the signal (which travels at the speed of light) is given as:
Speed = 3 × 10^8 m/s
Time
The time taken for the signal to reach the ground station is:
Time = 5 minutes
However, we need to convert time into seconds for consistency with the speed's units.
Conversion of Time
- 1 minute = 60 seconds
- Therefore, 5 minutes = 5 × 60 = 300 seconds
Calculating the Distance
Now, we can substitute the values into the formula:
Distance = Speed × Time
- Distance = (3 × 10^8 m/s) × (300 s)
Performing the Calculation
- Distance = 3 × 10^8 × 300
- Distance = 9 × 10^10 meters
Conclusion
The distance of the spaceship from the ground station is:
9 × 10^10 meters
This distance can also be expressed in kilometers for a better understanding:
- 1 kilometer = 1000 meters
- Distance in kilometers = 9 × 10^10 m / 1000 = 9 × 10^7 kilometers
In summary, the spaceship is approximately 90 million kilometers away from the ground station.
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During an experiment, a signal from a spaceship reached the ground station in 5 minutes. what was the distance of the spaceship from the ground station? the signal travels at the speed of light, that is 3×10^8 m/s?
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