To determine how long it would take to travel a distance of 30 light years at a speed of 120 miles per hour (mph), we need to convert the speed from mph to light years per year. Then, we can use the formula:
Time = Distance / Velocity
Let's begin by converting the speed to light years per year.
1 light year is the distance light travels in one year, which is approximately 5.88 trillion miles.
So, we can calculate the speed in light years per year:
Velocity (in light years per year) = 120 miles/hour * (1 year / 365 days) * (1 day / 24 hours) * (1 light year / 5.88 trillion miles)
Now, we can substitute the values into the formula:
Time = 30 light years / Velocity (in light years per year)
Calculating this:
Time = 30 light years / (120 miles/hour * (1 year / 365 days) * (1 day / 24 hours) * (1 light year / 5.88 trillion miles))
Simplifying the units:
Time = 30 * (365 / 24) / (120 * (5.88 trillion))
Evaluating this expression gives:
Time ≈ 0.000095 years
Therefore, it would take approximately 0.000095 years (equivalent to about 32.8 days) to travel 30 light years at a speed of 120 mph.