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Date May 2017 Marks available 2 Reference code 17M.1.AHL.TZ2.H_4
Level Additional Higher Level Paper Paper 1 Time zone Time zone 2
Command term Find Question number H_4 Adapted from N/A

Question

A particle moves along a straight line. Its displacement, s metres, at time t seconds is given by s=t+cos2t, t0. The first two times when the particle is at rest are denoted by t1 and t2, where t1<t2.

Find t1 and t2.

[5]
a.

Find the displacement of the particle when t=t1

[2]
b.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

s=t+cos2t

dsdt=12sin2t     M1A1

=0     M1

sin2t=12

t1=π12(s), t2=5π12(s)     A1A1

 

Note:     Award A0A0 if answers are given in degrees.

 

[5 marks]

a.

s=π12+cosπ6(s=π12+32(m))     A1A1

[2 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 5—Calculus » AHL 5.13—Kinematic problems
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Topic 5—Calculus

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