Vector calculus — Question 109
Original QCE Vault practice · 1 mark
Q109 · Practice questionSimple familiar1 mark
QUESTION 109
For r(t)=(3cost,2sint), the angle between velocity and acceleration at t=π/4 is approximately WORKED SOLUTION
Answer C
1 markWorked solution
At t=π/4, v=(−3,2)/2 and a=(−3,−2)/2. Thus cosθ=∣v∣∣a∣v⋅a=13/25/2=135, giving θ≈67.4∘. Selects the correct option.
[1 mark]Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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