## Fuel per unit distance decreasing?

I was reading a link i found here on physicsforums called "The relativistic rocket".
There was lots of calculations of the required fuel for certain distances and such.

However, I understand that time→0 when our velocity v→c.
And that will mean we travel a larger distance for a shorter amount of time in our (he/she who travels) frame of reference, right?
During that time though, we are using fuel, so my question is, or maybe I should call this a statement, however. Doesn't this mean that the fuel required to travel a distance d also goes to zero?
Fuel required→0 when v→c because t→0
.
I mean, the engine "stops" in it's frame of reference (as time is felt for the engine) when v is c, right? Let's now say it's possible to reach the velocity c.
Let's say v is now (9999999999999/10000000000000)*c. If statement above is true, this velocity will give a very large distance traveled for a minimal used up fuel.
Or is all this nonsense?

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 Doesn't this mean that the fuel required to travel a distance d also goes to zero?
no, not in the frame of the rocket ship.

 the engine "stops" in it's frame of reference (as time is felt for the engine) when v is c, right?
no, not in the frame of the rocket ship.

 Quote by Naty1 no, not in the frame of the rocket ship. no, not in the frame of the rocket ship.

Could you care to explain how this could not be the case? I mean time stops for me because I move at a velocity close to c, so is the rocket ship, why wouldn't time decrease for the ship?

## Fuel per unit distance decreasing?

 Quote by RobinSky Could you care to explain how this could not be the case? I mean time stops for me because I move at a velocity close to c, so is the rocket ship, why wouldn't time decrease for the ship?
"Time for you" is called "proper time". Your proper time rate has not slowed down if you go fast relative to something else. Instead, it's the time rate of clocks that move fast relative to you that you interpret as being slowed down, if you presume that you are in rest.

 Quote by RobinSky I mean, the engine "stops" in it's frame of reference (as time is felt for the engine) when v is c, right? Let's now say it's possible to reach the velocity c.
No, the engine keeps working at the same rate always, in its own reference frame. It's slower only relative to someone else (say, someone staying on Earth).

 Quote by RobinSky During that time though, we are using fuel, so my question is, or maybe I should call this a statement, however. Doesn't this mean that the fuel required to travel a distance d also goes to zero?[I]
You don't need fuel to travel. You only need fuel to accelerate. So "the fuel required to travel a distance d" doesn't make much sense.

 Quote by someGorilla No, the engine keeps working at the same rate always, in its own reference frame. It's slower only relative to someone else (say, someone staying on Earth). You don't need fuel to travel. You only need fuel to accelerate. So "the fuel required to travel a distance d" doesn't make much sense.
Sorry for not beting clear, I ment that this distance d was not enough to accelerate to the speed of light. In my concept I'm trying to accelerate to the speed of light, and I was thinking how the engine would behave as time slows down as I reach the speed of light.
But now I'm just more confused since I thought everything slowed down, since you age much slower and such at such velocities relative a person, let's say, a person on earth...

 Quote by RobinSky Sorry for not beting clear, I ment that this distance d was not enough to accelerate to the speed of light. In my concept I'm trying to accelerate to the speed of light, and I was thinking how the engine would behave as time slows down as I reach the speed of light. But now I'm just more confused since I thought everything slowed down, since you age much slower and such at such velocities relative a person, let's say, a person on earth...
No distance is enough to accelerate to the speed of light. In other words, you need d=∞.