What is the formula?

[Lowemack]

(sorry posted this first in Quantum mechanics by mistake:confused: )

Does anybody know what the formula is for the graph you see in text books, of speed against time for a constant force applied to an object. The one where speed increases with time, and then levels of as it approaches C.

 

For non reletavistic speeds I think the formula is f=ma, which when re-arranged would give t=mv/f. and for a force of 1N applied to a mass of 1kg t=v. So after 10 seconds the mass would be doing 10m/s,after 20s 20m/s.

 

But at speeds close to C we know that this is not the case, so does anybody know the formula that matches the graph I mentioned?

[Meir Achuz]

[tex]v=at/\sqrt{1+a^2t^2}[/tex] for an object with a constant acceleration a in its rest frame.

[TriggerGrinn]

[tex]v=at/\sqrt{1+a^2t^2}[/tex] for an object with a constant acceleration a in its rest frame.

 

they use (math) (/math) here with [math] brackets [\math]

 

so you said:

 

[math]v=at/\sqrt{1+a^2t^2}[/math]