Light from the Sun takes about 8 minutes and 20 seconds to reach Earth. How far is Earth from the Sun in kilometers, assuming speed of light is 3 × 10⁸ m/s? - Coaching Toolbox

Understanding the Context

Light travels at an extraordinary speed of about 3 × 10⁸ meters per second (300 million meters per second). To understand why it takes roughly 8 minutes and 20 seconds for sunlight to reach Earth, we need to compute the distance light travels in that time.

Calculating the Distance: Step by Step

1. Convert the travel time into seconds
   8 minutes = 8 × 60 = 480 seconds
   Add 20 seconds → Total time = 480 + 20 = 500 seconds

Key Insights

2. Use the formula: distance = speed × time
   Distance = (3 × 10⁸ m/s) × 500 s
   Distance = 1.5 × 10¹¹ meters (150 billion meters)

3. Convert meters to kilometers
   Since 1 km = 1,000 m:
   Distance = 150 × 10⁹ m = 150 billion kilometers
   ≈ 150 million kilometers (150,000,000 km)

Note: Some sources round this to about 150 million kilometers for simplicity, consistent with the 8 minutes 20 seconds travel time.

Why This Distance Matters

Final Thoughts

The Sun lies roughly 150 million kilometers (93 million miles) from Earth—a value known as an astronomical unit (AU). This measurement forms the basis for measuring distances across our solar system. Knowing that light takes over 8 minutes to travel this vast space helps scientists communicate across interstellar distances and understand the true scale of our universe.

Summary

• Light from the Sun takes ~500 seconds (~8 minutes 20 seconds) to reach Earth.
  
• At a speed of 3 × 10⁸ meters per second, it travels 150 million kilometers (93 million miles).
  
• This vast distance illustrates not just space’s emptiness but also the immense scale of our solar system.

Whether you're marveling from home or studying astronomy, understanding how light from the Sun journeys to Earth reminds us of both the beauty and complexity of the cosmos.