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Date May 2009 Marks available 4 Reference code 09M.1.sl.TZ1.4
Level SL only Paper 1 Time zone TZ1
Command term Complete Question number 4 Adapted from N/A

Question

The following diagram shows the graphs of the displacement, velocity and acceleration of a moving object as functions of time, t.


Complete the following table by noting which graph A, B or C corresponds to each function.


[4]
a.

Write down the value of t when the velocity is greatest.

[2]
b.

Markscheme


     A2A2     N4

[4 marks]

a.

\(t = 3\)     A2     N2

[2 marks]

b.

Examiners report

Many candidates answered this question completely and correctly, showing a good understanding of the graphical relationship between displacement, velocity and acceleration. When done incorrectly, many answered with the displacement as graph B and acceleration as graph C.

a.

Many candidates found the value of t which gave a maximum in the remaining graph, and were awarded follow through marks.

b.

Syllabus sections

Topic 6 - Calculus » 6.6 » Kinematic problems involving displacement \(s\), velocity \(v\) and acceleration \(a\).
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