Help
This is Ragknot and I am alone on strange flying ship.
I can't move because I am tied up. I can see a guage that
reads "Acceleration".
The ship just began to move and the guage moved to 200 miles
per hour-minute and it's holding steady now. How long do I
have until the ship escapes Earth's orbit?
I can't move because I am tied up. I can see a guage that
reads "Acceleration".
The ship just began to move and the guage moved to 200 miles
per hour-minute and it's holding steady now. How long do I
have until the ship escapes Earth's orbit?
Labels: trickofmind
posted by Ragknot at
7:59 PM
10 Comments:
you are already out of the orbit
Depends where you start from
Let's assume you're starting from Earth's surface. I'm not going to calculate the escape velocity at different altitudes, so let's go with 7.0 mi/s as our escape velocity. That's 420 mi/hr. I like that number. So if we're accelerating at 200 miles per hour per minute, then it will take 2.1 minutes to reach escape velocity. I don't know how long it will take to "escape earth's orbit", exactly.
never it is holding steady at 200
gravity will keep you at 200
to Moshe:
7 mile/second = 25,200 mile/hour
not 430 mph
But how long will it take starting at speed of zero at surface, considering the require speed is reduced at altitude.
Depends which way the ship is pointing - straight up or partly up and across. If straight across (i.e. horizontal) or at any angle downwards then you'd better find the ejector button or you're finished.
In order to be able to figure out the amount of time that it will take you to escape the earth's orbit, you need to know the initial velocity of the ship and the initial position relative to the distance you need to travel. The distance or position formula is:
d=v*t+(1/2)at^2
Where v is the initial velocity, t is the time, and a is the acceleration. To figure out how long it will take, just simply solve for the t in the equation:
t=(sqrt(v^2+2ad)-v)/a
and plug in the known values.
Also i'm pretty sure the acceleration of the earth is negligible since the accelerometer has already taken it into consideration. I think.
Of course the intial speed was zero at the Earth's surface. After an acceleration of 200 mile per hour-minute for about an 80 minutes speed is about 7.15 km/sec
and an altitude of 10,700 miles. At this altitude, the "escape velocity" has been reduced to the approximate speed.
Looks like no one got close to this one.
That question is definitely not a trick of mind- but infinitely more important- are you wearing a "Price is Right" nametag in your avatar pic? Did they call you to come on down? Was it during Bob Barker or Drew Carey? See- those are interesting questions.
If you're tied up, then how could you type?
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