Question

if mars travels at 24,126 meters per second in orbit around the sun and takes 1.88 earth years to complete its orbit, what is the total distance in miles mars travels throughout its complete orbit? (round your answer to the nearest whole number and do not include units or commas in your answer.) note: there are 1,609 meters in a mile. use 365 for the number of days in an earth year.
provide your answer below:

Explanation:

Step1: Calculate the total number of seconds in 1.88 Earth years

First, convert years to days: \(1.88\times365 = 686.2\) days.
Then convert days to hours: \(686.2\times24=16468.8\) hours.
Next, convert hours to minutes: \(16468.8\times60 = 988128\) minutes.
Finally, convert minutes to seconds: \(988128\times60=59287680\) seconds.

Step2: Calculate the total distance in meters

Use the formula \(d = v\times t\), where \(v = 24126\) m/s and \(t = 59287680\) s. So \(d=24126\times59287680\) \(=1.43037557768\times10^{12}\) meters.

Step3: Convert meters to miles

Since there are 1609 meters in a mile, divide the total distance in meters by 1609. \(\frac{1.43037557768\times 10^{12}}{1609}\approx889096073\)

Answer:

889096073