anonymous
  • anonymous
According to Star Trek, Warp 8 is 8 times the speed of light. If the star ship Voyager can travel at Warp 8, how many miles can it travel in a year? Write your final answer in scientific notation and show at least one step of your work.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
what is the speed of light?
anonymous
  • anonymous
google it if you don't know and post it here.
anonymous
  • anonymous
ttully, are you interested in the answer or not? I need your feedback to help you.

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More answers

anonymous
  • anonymous
yes i will google it
anonymous
  • anonymous
the speed of light = 299 792 458 m / s
anonymous
  • anonymous
okay. to make matters simple, we generally assume the speed of light to be 300000000 m/s or 3X10^8 m/s so, what is Warp 8 then? What is that speed equal to?
anonymous
  • anonymous
just tell me what Warp 8 means. Unless you don't want the answer. In that case I won't waste your time or mine.
anonymous
  • anonymous
I dont know what warp 8 means
anonymous
  • anonymous
it is given in the first sentence of the problem. read it.
anonymous
  • anonymous
8 times the speed of light
anonymous
  • anonymous
8 X 299 792 458
anonymous
  • anonymous
you must always say what that number means. 8 X 299 792 458 could mean feet, or pounds or number of fish you caught last year. what is it?
anonymous
  • anonymous
8warp X 299792458m/s
anonymous
  • anonymous
no, you should say Warp 8 = 8 X 299792458m/s
anonymous
  • anonymous
okay. so we have the speed. now, what is the distance traveled in a year? the formula for distance is speed X time. so how much time is one year?
anonymous
  • anonymous
2398339664m/s
anonymous
  • anonymous
okay, that is the speed. now, what is the time?
anonymous
  • anonymous
not sure
anonymous
  • anonymous
okay. how long is a year?
anonymous
  • anonymous
12 months
anonymous
  • anonymous
okay. and how many days in each year?
anonymous
  • anonymous
360
anonymous
  • anonymous
really? when was the last time you had 360 days in a year. A year has 365 days. Look it up.
anonymous
  • anonymous
anyway, how many hours in a day?
anonymous
  • anonymous
24
anonymous
  • anonymous
and how many seconds in an hour?
anonymous
  • anonymous
60
anonymous
  • anonymous
are you sure? 1 hour is 60 seconds long?
anonymous
  • anonymous
60min
anonymous
  • anonymous
right, and each minute has how many seconds?
anonymous
  • anonymous
60
anonymous
  • anonymous
okay. so a minute has 60 seconds. and hour has 60 minutes, a day has 24 hours. a year has 365 days. so the total number of seconds in a year is 60 X 60 X 24 X 365
anonymous
  • anonymous
so give me the number of seconds in a year. Multiply all that using your calculator.
anonymous
  • anonymous
31536000
anonymous
  • anonymous
okay good. so if you are traveling at warp 8 it means that you travel 2398339664 meters each second. so how much distance would you travel in 31536000 seconds?
anonymous
  • anonymous
7.563403964
anonymous
  • anonymous
oh. you travel 7.563403964? what is that? is it 7.5 feet? or 7.5 kilometers, or 7.5 pounds of meat? or 7.5 chips?
anonymous
  • anonymous
miles
anonymous
  • anonymous
so your answer is 7.5 miles?
anonymous
  • anonymous
no it is 7.5miles X 10 to the 9th power
anonymous
  • anonymous
is that right? and how did you get that answer?
anonymous
  • anonymous
I dont know if that rigt or not. But I mad the 7.563403964 into scientifice notation
anonymous
  • anonymous
well, if I told you I travel 1 foot every second, how much distance will I cover in 10 seconds?
anonymous
  • anonymous
10ft
anonymous
  • anonymous
why not 10 miles?
anonymous
  • anonymous
because you said 1ft a second
anonymous
  • anonymous
right. if you travel at warp 8 speed it means you travel 2398339664 METERS each second, how much distance would you cover in 31536000 seconds. Why did you say 7.5 X 10 ^9 MILES?
anonymous
  • anonymous
how come you changed meters to miles?
anonymous
  • anonymous
because it has to be in scietifice notation
anonymous
  • anonymous
what did you think scientific notation means?
anonymous
  • anonymous
its so you dont have to use so many numbers
anonymous
  • anonymous
actually, don't worry about the scientific notation now. just tell me how many METERS it travels in one year.
anonymous
  • anonymous
7.7m
anonymous
  • anonymous
7.5meters
anonymous
  • anonymous
are you sure? it travels just 7.5 meters in one whole year?
anonymous
  • anonymous
no im consfused now
anonymous
  • anonymous
if my speed is 10 meters per second, how many meters would I travel in 10 seconds?
anonymous
  • anonymous
are you familiar with meters? it is just a measure of distance. One meter is roughly equal to one yard. so don't get confused by the word 'meter'
anonymous
  • anonymous
yes
anonymous
  • anonymous
so answer my question: if my speed is 10 meters per second, how many meters would I travel in 10 seconds?
anonymous
  • anonymous
10
anonymous
  • anonymous
wrong. do you know how distance is calculated? distance is speed X time
anonymous
  • anonymous
so if my speed is 10m/s, how much distance would I cover in 10 seconds?
anonymous
  • anonymous
100
anonymous
  • anonymous
100 what? feet, seconds, pies?
anonymous
  • anonymous
meter
anonymous
  • anonymous
okay. so if my speed is 10 m/s, I travel 100 meters in 10 seconds. Using the same logic, if my speed is 2398339664 m/s , how many meters do I travel in 31536000 seconds?
anonymous
  • anonymous
7.563403964E16
anonymous
  • anonymous
okay. so 7.563403964E16 meters is the answer. That is also the scientific notation. Scientific notation simply means you take a number, say 123455 and express it as 1.23455 X 10^5. so the answer in your case is 7.563403964E16 which can also be written as 7.563403964 X 10^16
anonymous
  • anonymous
all in meters.
anonymous
  • anonymous
The letter E in the answer means you multiply the number before E with 10^ the number after E so 7.563403964E16 means 7.563403964 multiplied by 10^16. so your answer in scientific notation is 7.563403964E16 meters or 7.563403964 X 10^16 meters.
anonymous
  • anonymous
http://www.chem.tamu.edu/class/fyp/mathrev/mr-scnot.html http://en.wikipedia.org/wiki/Scientific_notation scientific notation is just a way to represent NUMBERS. It does not mean that you should change meters to miles or anything like that.
anonymous
  • anonymous
ok thank you
anonymous
  • anonymous
you are welcome. note that E means the exponent. it doesn't always have to be 10.

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