Question

The speed of light is about 1.9×1051.9 \times 10^{5} miles per second. It takes about 500 seconds for light to travel from the sun to Earth. What is the approximate distance between Earth and the sun? Write in scientific notation.

Solution

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The following are given in the problem.

speed of light=1.9×105 miles per second\text{speed of light} = \textcolor{#c34632}{1.9 \times 10^5 \ \text{miles per second}}

time=500 seconds\text{time} = \textcolor{#c34632}{500\ \text{seconds}}


To determine the approximate distance between Earth and the sun, we derive a formula from the speed equation given by

speed=distancetimedistance=speed×time\begin{aligned} \text{speed} &= \dfrac{\text{distance}}{\text{time}} \\ \\ \text{distance} &= \text{speed} \times \text{time} \end{aligned}

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