[Problem] [Show Your Work]
The average distance between the earth and the sun is 93 million miles. Using the velocity of light, find an approximate value for the amount of time it takes a light ray to travel from the sun to the earth.
(Velocity of Light = 186,000 miles per second)
Suppose at a given time the Sun is a distance miles from the Earth, and further suppose that the Earth revolves around the Sun exactly once between times and .
Then any light ray hitting the Earth at a time will have traveled for seconds. As should be a continuous function of we may determine the average time to be
Carrying the units through, the answer is in seconds, and this agrees with angel.white's solution.