DP Physics (last assessment 2024)

Test builder »

Question 19M.3.SL.TZ1.e

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

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.

Determine, using the diagram, the speed of the spacecraft relative to the galaxy.

[2]

Markscheme

use of tan θ = v c with the angle between the time axes ✔

to get (0.70 ± 0.02)c

Examiners report

Many candidates determined the speed using the spacetime diagram. However, some experienced difficulties reading accurately from the graph, and though their approach was correct, they failed to gain a result within the accepted range of values.