QCEVault

Mathematical Methods — Question 7

QCAA 2022, Paper 2 · 1 mark

Q7 · 2022 · Technology-activeSimple familiar1 mark

QUESTION 7

A marble moves in one direction in a straight line with velocity v=2ln⁡(t+1)v=2\ln(t+1) (in metres per second) where tt is time (in seconds) since the marble passed through the origin. Determine the distance from the origin the marble has rolled after 4 seconds.
(A)
0.40 m
(B)
1.60 m
(C)
3.22 m
(D)
8.09 m
Question linkOriginal paper

Related questions

  1. Q1 · 2025 QCAA · Paper 1 · 1 mark
    Determine the value of ∫123x2 dx\displaystyle\int_1^2 3x^2\,dx.
    Question and worked solution
  2. Q2 · 2025 QCAA · Paper 1 · 1 mark
    State the domain of the function y=ln⁡(x)y=\ln(x).
    Question and worked solution
  3. Q3 · 2025 QCAA · Paper 1 · 1 mark
    A council wants to survey residents about a new dog park. Which sampling method would best minimise bias in the survey?
    Question and worked solution
  4. Q4 · 2025 QCAA · Paper 1 · 1 mark
    Solve for xx in the equation ln⁡(x)+ln⁡(2)=ln⁡(8)\ln(x)+\ln(2)=\ln(8).
    Question and worked solution