Question

Consider a spacetime diagram on which the vertical time axis is marked in seconds and the...

Consider a spacetime diagram on which the vertical time axis is marked in seconds and the horizontal space axis is marked in light-seconds. Assume a worldline with a slope of 18 ∘∘ (from the horizontal).

At what speed would an object have to be traveling to have this worldline?

Can any object have this worldline?

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Answer #1

Given a slope of , we can say that the tangent of this ratio is the slope of the line.

Therefore, the speed of the object is the inverse of this slope(as the time is on the vertical axis)

This velocity is more than the velocity of light, and no object can have a velocity more than the velocity of light. There, an object cannot have this worldline.

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