Maps of Spacetime - Questions

Maps of Spacetime
































In a spacetime diagram with t the time and x the distance, all of the points on the time axis have

(A) t = 0. (B) x = 0. (C) t = x = 0. (D) t = x.





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r38.2
































In a spacetime diagram with t the time and x the distance, all of the points on the time axis have

(A) t = 0. --- No.

The axes are named after
the coordinate that is not zero.

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r38.2
































In a spacetime diagram with t the time and x the distance, all of the points on the time axis have

(B) x = 0. --- Yes,

Only the time coordinate
is non-zero along the time axis.

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In a spacetime diagram with t the time and x the distance, all of the points on the time axis have

(C) t = x = 0. --- No.

That would be the origin.


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r38.2
































In a spacetime diagram with t the time and x the distance, all of the points on the time axis have

(D) t = x. --- No.

Along the time axis,
that is only true at the origin.

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In the following spacetime diagram, which letter is closest to the event with
x = 1, t = 2?

(A) - (B)

(C) - (D)



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r38.3
































In the following spacetime diagram, which letter is closest to the event with
x = 1, t = 2?

(A) --- Yes.
One unit along x-axis and then two units parallel to t-axis.

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In the following spacetime diagram, which letter is closest to the event with
x = 1, t = 2?

(B) --- No.

That is at x=2, t=2.

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r38.3
































In the following spacetime diagram, which letter is closest to the event with
x = 1, t = 2?


(C) --- No.
That is at x = 1, t = 1.

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r38.3
































In the following spacetime diagram, which letter is closest to the event with
x = 1, t = 2?


(D) --- No.
That is at x = 2, t = 1.

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r38.3
































The following spacetime diagram uses c=1 units. Which is the world-line of an object moving in the positive-x direction at less than the speed of light?
(a) - (b)

(c) - (d)




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r38.4
































The following spacetime diagram uses c=1 units. Which is the world-line of an object moving in the positive-x direction at less than the speed of light?
(a) --- No.
That is the world-line of an object at rest.



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The following spacetime diagram uses c=1 units. Which is the world-line of an object moving in the positive-x direction at less than the speed of light?
(b) --- No.
That is the world-line of an object moving in the negative-x direction.


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The following spacetime diagram uses c=1 units. Which is the world-line of an object moving in the positive-x direction at less than the speed of light?

(c) --- Yes.
In unit time, x changes by a positive number less than one.


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The following spacetime diagram uses c=1 units. Which is the world-line of an object moving in the positive-x direction at less than the speed of light?

(D) --- No. That represents a light-ray moving in the positive-x direction.


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r38.4