Q283 · Practice questionTechnology-freeComplex familiar6 marks
QUESTION 283 (6 marks)
A small cart has velocity for .
a)[1 mark]
Determine when the cart changes direction.
b)[2 marks]
Determine its exact displacement over this interval.
c)[3 marks]
Determine its exact total distance travelled.
WORKED SOLUTION
6 marksPractice marking scheme
ANSWER
a) s. b) m. c) m.
Worked solution
a) at ; velocity changes from negative to positive.
b) .
c) Distance is . The two contributions are and , giving m.
Exact answers unless rounding is specified; equivalent forms accepted.
a) Gives the change of direction time.
b) Integrates the velocity.
b) Evaluates the displacement.
c) Splits at ln 2 and changes the negative sign.
c) Evaluates both contributions.
c) Gives total distance 1 m.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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