Speed of light question

Say you are going 2 km/hr slower than the speed of light in an airplane. What would happen if you got out of your seat and ran down the aisle (towards the front) at >2 km/hr?

you wouldnt be able to run that fast, the closer you get to the speed of light the more energy it takes to go faster, If you graphed it it would look something like the picture

but if you're traveling at a constant velocity the entire airplane relative to you seems like it's not moving at all so relative to the plane you can move as fast as you like right?
or does the energy it takes to accelerate approach infinity even though from your point of view the plane doesn't seem like it's moving at all?

Its your total velocity, relation to what youre in/on has nothing to do with it

ok

Read on the addition of relativistic velocities. You would still be below c with respect to a stationary observer. There's a formula.

relation has everything to do with it (hence the relativity). unless i'm reading this wrong you seem to be implying an objective velocity

you, the runner, would not notice anything strange. you could run as fast as you'd like. hell you can imagine being in a huge airplane and then being on a rocket inside that airplane and go as fast as you'd like on that rocket (v < c still). In this case it's not entirely useful to look at Energy, all you need to know is that a stationary observer outside the airplane wouldn't observe you going faster than c. they'd observe a velocity in accordance with relativistic velocity-addition. This seems strange, but that's because we're not used to thinking about time dilation, which is what's occurring.

How the fuck would you even stand up, you would need like, a metric fuckton of retard strength to run.

wot. no.

I worded it rather poorly, I only meant to say his example of ignoring the speed of the plane was incorrect

The same way you could run on a speeding train? You're within the airplane's frame of reference.

OK now there are two trains both going the speed of light, the other 1 meter behind the other. The following train turns on it's headlights at the same moment it passes a bystander on the side of the track. Can the bystander see the light hit the rear of the leading train? Can the conductor of the train see the light hit the leading train? Not even Einstein was able to answer this.

>Not even Einstein was able to answer this.
[citation needed]

Also trains moving at the speed of light makes no sense, maybe near Light speed?

>Not even Einstein was able to answer this.
Yes, Einstein was completely stumped by high-school level problems his mum shared with him on Facebook.
Jesus Fucking Christ.

interesting thank you

Why the fuck isn't that linear

It's still heavier, just like on a speeding train. You just don't notice it. But don't underestimate c

>total velocity

not an answer

>In the frame of the plane
You'd be measured running with a speed v.
>In a frame at rest wrt the plane
You'd be measured running with a speed [eqn] u = \frac { v + u'} { 1 + (uv'/c^2) } [/eqn]

Why would you expect it to be?

>the closer you get to the speed of light the more energy it takes to go faster,

So exponentially more? Thought it was linear but it makes sense yeah. Since you'd need an infinite amount of energy to reach c

exactly