Question

the speed of light is $2.998 \times 10^8$ m/s. how far does light travel in 7.0 $\mu$s? set the math up. but dont do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols. distance = \square

Explanation:

Step1: Recall the formula for distance

The formula for distance is \( \text{distance} = \text{speed} \times \text{time} \).

Step2: Convert time to seconds

We know that \( 1\ \mu\text{s} = 10^{- 6}\ \text{s} \), so \( 7.0\ \mu\text{s}=7.0\times10^{-6}\ \text{s} \).

Step3: Substitute speed and time into the formula

The speed of light \( v = 2.998\times10^{8}\ \text{m/s} \) and time \( t = 7.0\times10^{-6}\ \text{s} \). Substituting into the distance formula, we get \( \text{distance}=(2.998\times 10^{8})\times(7.0\times 10^{-6})\ \text{m} \)

Answer:

\( (2.998\times 10^{8})\times(7.0\times 10^{-6})\ \text{m} \)