QCEVault

Modelling motion — Question 223

Original QCE Vault practice · 5 marks

Q223 · Practice questionTechnology-activeComplex familiar5 marks

QUESTION 223 (5 marks)

A robot antenna vibrates with displacement x(t)=3cos⁡2t+4sin⁡2tx(t)=3\cos2t+4\sin2t cm for t nonnegative.
Displacement 3 cos(2t)+4 sin(2t) over the first period.
a)
Determine amplitude and period.
[2 marks]
b)
Find the first positive maximum-displacement time and maximum speed.
[3 marks]
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