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Date November 2016 Marks available 1 Reference code 16N.3.SL.TZ0.6
Level Standard level Paper Paper 3 Time zone Time zone 0
Command term Calculate Question number 6 Adapted from N/A

Question

A spaceship S leaves the Earth with a speed = 0.80c. The spacetime diagram for the Earth is shown. A clock on the Earth and a clock on the spaceship are synchronized at the origin of the spacetime diagram.

Calculate the angle between the worldline of S and the worldline of the Earth.

[1]
a.

Draw, on the diagram, the x′-axis for the reference frame of S.

[1]
b.

An event Z is shown on the diagram. Label the co-ordinates of this event in the reference frame of S.

[1]
c.

Markscheme

angle = tan–1 «\(\frac{{0.8}}{1}\)» = 39 «o» OR 0.67 «rad»

a.

adds x′-axis as shown

Approximate same angle to v = c as for ct′.

Ignore labelling of that axis.

b.

adds two lines parallel to ct′ and x′ as shown indicating coordinates

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Option A: Relativity » Option A: Relativity (Core topics) » A.3 – Spacetime diagrams
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