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Mechanics — Question 145

Original QCE Vault practice · 7 marks

Q145 · Practice questionTechnology-activeComplex unfamiliar7 marks

QUESTION 145 (7 marks)

A particle executes SHM with x(t)=0.12cos⁡(4t−π3)x(t)=0.12 \cos (4t-\frac{\pi}{3}) metres.
Original diagram for Specialist Mathematics Paper 2 question 16
a)
State the amplitude and period.
[2 marks]
b)
Find velocity and maximum speed.
[2 marks]
c)
Find acceleration when x=0.060 mx=0.060\,\mathrm{m}.
[2 marks]
d)
State the first positive time at which xx is maximum.
[1 mark]
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