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Mechanics — Question 90

Original QCE Vault practice · 7 marks

Q90 · Practice questionComplex unfamiliar7 marks

QUESTION 90 (7 marks)

A particle satisfies d2xdt2=−4x,x(0)=3,v(0)=−4.\frac{d^2x}{dt^2}=-4x,\qquad x(0)=3,\qquad v(0)=-4.
a)
Determine x(t)x(t).
[3 marks]
b)
Determine the amplitude and period.
[2 marks]
c)
Determine the first time t>0t>0 at which the particle passes through the origin.
[2 marks]
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