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Question 18M.3.SL.TZ1.5a

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.3.SL.TZ1.5a
Level SL Paper 3 Time zone TZ1
Command term Draw Question number a Adapted from N/A
a.
[Maximum mark: 2]
18M.3.SL.TZ1.5a

An observer on Earth watches rocket A travel away from Earth at a speed of 0.80c. The spacetime diagram shows the worldline of rocket A in the frame of reference of the Earth observer who is at rest at x = 0.

Another rocket, B, departs from the same location as A but later than A at ct = 1.2 km according to the Earth observer. Rocket B travels at a constant speed of 0.60c in the opposite direction to A according to the Earth observer.

(a)

Draw on the spacetime diagram the worldline of B according to the Earth observer and label it B.

[2]

Markscheme

straight line with negative gradient with vertical intercept at ct = 1.2 «km»

through (–0.6, 2.2) ie gradient = –1.67

M18/4/PHYSI/SP3/ENG/TZ1/05.a/M

 

Tolerance: Allow gradient from interval –2.0 to –1.4, (at ct = 2.2, x from interval 0.5 to 0.7).

If line has positive gradient from interval 1.4 to 2.0 and intercepts at ct = 1.2 km then allow [1 max].

[2 marks]