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Question 20N.3.SL.TZ0.5b(ii)

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Date November 2020 Marks available [Maximum mark: 3] Reference code 20N.3.SL.TZ0.5b(ii)
Level SL Paper 3 Time zone TZ0
Command term Determine Question number b(ii) Adapted from N/A
b(ii).
[Maximum mark: 3]
20N.3.SL.TZ0.5b(ii)

The spacetime diagram is in the reference frame of an observer O on Earth. Observer O and spaceship A are at the origin of the spacetime diagram when time t=t'=0. The worldline for spaceship A is shown.

 

Event E is the emission of a flash of light. Observer O sees light from the flash when t=9 years and calculates that event E is 4ly away, in the positive x direction.

(b(ii))

Determine the time, according to spaceship A, when light from event E was observed on spaceship A.

[3]

Markscheme

light cone from E «crosses ct at 9 so» intersection on ct'=5.6±0.2 y «on ct scale»

γ=1.25

so t'=«5.61.25=»4.5 «y after leaving Earth»

 

MP1 accept use of linear equations to find t=5.625

Allow ECF from (b)(i) and (a)

Examiners report

Those candidates who placed E at the correct position were then able to calculate the time appropriately.