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Question 19M.3.SL.TZ1.b

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Date May 2019 Marks available [Maximum mark: 2] Reference code 19M.3.SL.TZ1.b
Level SL Paper 3 Time zone TZ1
Command term Suggest Question number b Adapted from N/A
b.
[Maximum mark: 2]
19M.3.SL.TZ1.b

The diagram shows space and time axes  x and ct for an observer at rest with respect to a galaxy. A spacecraft moving through the galaxy has space and time axes x ′ and ct′.

A rocket is launched towards the right from the spacecraft when it is at the origin of the axes. This is labelled event 1 on the spacetime diagram. Event 2 is an asteroid exploding at  x = 100 ly and ct = 20 ly.

Suggest whether the rocket launched by the spacecraft might be the cause of the explosion of the asteroid.

[2]

Markscheme

ALTERNATIVE 1
the rocket would have to travel faster than the speed of light ✔

so impossible ✔

ALTERNATIVE 2
drawing of future lightcone at origin ✔

and seeing that the asteroid explodes outside the lightcone so impossible ✔

ALTERNATIVE 3
the event was observed at +20 years, but its distance (stationary) is 100 ly ✔

so the asteroid event happened 80 years before t = 0 for the galactic observer ✔

Examiners report

Most of the candidates identified, that the spacecraft was launched after the asteroid explosion and better candidates were also able to explain their reasoning with a drawing of light cones on the spacetime graph being the most popular response type.