The problem asks for the distance between Earth and Proxima Centauri. We are given that light travels at 300,000 km/s and that one light year is equal to 9.46 trillion kilometers. We are also given that it takes light 4.2 years to reach Earth from Proxima Centauri.

Applied MathematicsDistanceLight YearsUnit ConversionPhysics
2025/4/26

1. Problem Description

The problem asks for the distance between Earth and Proxima Centauri. We are given that light travels at 300,000 km/s and that one light year is equal to 9.46 trillion kilometers. We are also given that it takes light 4.2 years to reach Earth from Proxima Centauri.

2. Solution Steps

Since it takes 4.2 years for light to reach Earth from Proxima Centauri, the distance between them is 4.2 light years.
Alternatively, we can use the information that 1 light year equals 9.46 trillion kilometers.
The distance in kilometers is 4.2×9.464.2 \times 9.46 trillion kilometers.
Distance = (time in years) * (distance light travels in one year)
Distance = 4.2 light years.

3. Final Answer

D. 4.2 light years

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