Question

Light travels approximately 982,080,000 ft/s, and one year has approximately 32,000,000 seconds. A light year is the distance light travels in one year. State the speed in mi/s, using scientific notation. (1 mile = 5280 feet exactly, by definition; i.e., this is not a measurement.) A. 1.8600 x 105 mi/s Light travels approximately 982,080,000 ft/s, and one year has approximately 32,000,000 seconds. A light year is the distance light travels in one year.

State the speed in mi/s, using scientific notation. (1 mile = 5280 feet exactly, by definition; i.e., this is not a measurement.)

A. 1.8600 x 105 mi/s
B. 5.1854 x 1012 mi/s

Answer 1

A. 1.8600 x 105 mi/s

Step-by-step explanation:

The problem gives us the value of the speed of light in ft/s:
`v=982,080,000 ft/s`

We know the conversion factor between feet and miles:

`1 mi = 5280 ft`

So we can apply this conversion factor to the speed of light:

`v=982,080,000 ft/s \cdot (1)/(5280 ft/mi)=186,000 mi/s=1.86\cdot 10^5 mi/s`