- #1
DeldotB
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Homework Statement
Good day all!
Quick question:
As part of a problem statement, I'm asked to verify if the trajectory: [tex] \frac{dx}{dt}=\frac{cgt}{\sqrt{1+g^2t^2}} [/tex]
Is "consistent".
Homework Equations
None
The Attempt at a Solution
Im not sure what "consistent" means. Does it mean, [itex] \frac {dx}{dt} < c [/itex] for all t? If that's so, I run into a problem because in the limit as t approaches infinity, the velocity = the speed of light (the limit goes to c). Am I approaching this the wrong way? (The trajectory is supposed to be "consistent")
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