A starship is crusing the interstellar with a velocity of 2174.799173 miles per second. How far would the starship have traveled in 2 years, 9 days and 4.50 hours?
I've spent several hours on this problem and still I cannot come up with the correct answer. So, how do I solve it? The correct answer in exponential form 2.23 x 10'11km, but I don't know how they got it.
Thanks!
convert the time to seconds
4.50 hrs = 16,200s
9 days= 777,600s
2 years = 63 113 851.9s
(2174.799173 mi/sec)*(total sec)*(1km/1000m)= ___________?
this should give you the answer
I suspect you haven't changed miles to km.
1.Convert 2174.799 miles/s to km/s.
a. Then change s to min
b. change min to hours
c. change hours to days
d. change days to years.
e. multiply by 2 years.
2. Take the answer to 1, go through 1a, 1b,and 1c, and multiply by 9 days.
3. Take the answer to 1, go through 1a and 1b and multiply by 4.50 hours.
4. Add the anwers to 1, 2, and 3.
Check my thinking. I obtained the answer of 2.23 x 10^11 also.
To solve this problem, you need to use the formula: Distance = Velocity x Time.
First, convert the given velocity from miles per second to miles per hour.
Since there are 60 minutes in an hour and 60 seconds in a minute, the conversion factor from seconds to hours is 1/3600.
So, the velocity in miles per hour is 2174.799173 miles per second * 3600 = 78353.27622 miles per hour.
Next, convert the time given in years, days, and hours into hours.
Since there are 24 hours in a day, and 365 days in a year (considering no leap years), the conversion factors are:
2 years = 2 * 365 * 24 = 17520 hours
9 days = 9 * 24 = 216 hours
4.50 hours = 4.50 hours
Now, total up the converted time:
17520 hours + 216 hours + 4.50 hours = 17740.50 hours
Finally, calculate the distance traveled using the formula:
Distance = Velocity x Time
Distance = 78353.27622 miles per hour * 17740.50 hours = 1,389,809,775.74 miles.
To convert this distance from miles to kilometers, we can use the conversion factor 1 mile = 1.609344 kilometers.
So, the distance in kilometers is 1,389,809,775.74 miles * 1.609344 = 2.23 x 10^11 kilometers.
Therefore, the starship would have traveled a distance of approximately 2.23 x 10^11 kilometers in 2 years, 9 days, and 4.50 hours.