| 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 v = 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.
