QCEVault

Vector calculus — Question 34

Original QCE Vault practice · 6 marks

Q34 · Practice questionComplex familiar6 marks

QUESTION 34 (6 marks)

A particle follows the path r(t)=(3cos⁡t,2sin⁡t),0≤t≤2π.\mathbf r(t)=(3\cos t,2\sin t),\qquad0\le t\le2\pi.
Supporting diagram for question 34
a)
Obtain a Cartesian equation of the path.
[2 marks]
b)
Determine the velocity and speed at t=π/2t=\pi/2.
[2 marks]
c)
Determine the acceleration at t=π/2t=\pi/2 and explain its direction relative to the centre of the ellipse.
[2 marks]
Question linkSyllabus coverage

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