Nighly Sloped Worldline. Make a spacetime diagram on yhich the time axis is marked in seconds and the space axis is marked in light-seconds. Draw a worldline with a slope of 30° (from the horizontal). At what speed would an object have to be traveling to have this worldline? Can any object have this worldline? Explain.

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Nighly Sloped Worldline. Make a spacetime diagram on
yhich the time axis is marked in seconds and the space
axis is marked in light-seconds. Draw a worldline with a
slope of 30° (from the horizontal). At what speed would an
object have to be traveling to have this worldline? Can any
object have this worldline? Explain.
Transcribed Image Text:Nighly Sloped Worldline. Make a spacetime diagram on yhich the time axis is marked in seconds and the space axis is marked in light-seconds. Draw a worldline with a slope of 30° (from the horizontal). At what speed would an object have to be traveling to have this worldline? Can any object have this worldline? Explain.
Expert Solution
Step 1

Consider the known data as below.

A slope. θ=30°

Velocity of light, c=3×108 ms

Let any instance coordinates of particle P be t cos30°,t sin30°.

Since coordinate of light time is t cos30°.

 

Draw the world line as below.

Advanced Physics homework question answer, step 1, image 1

The displacement is,

d=light time×speed of light=t cos30°×c

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