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Vectors and matrices — Question 6

QCAA 2022, Paper 2 · 1 mark

Q6 · 2022 · Technology-activeSimple familiar1 mark

QUESTION 6

A 4 kg object moves in a straight line over time, tt (s), where 0≤t≤50\le t\le5 with velocity v=9+8t−t2v=9+8t-t^2 (m s−1)(\mathrm{m\ s^{-1}}). Determine the momentum of the object when t=3t=3.
(A)
24 kg m s−124\ \mathrm{kg\ m\ s^{-1}}
(B)
27 kg m s−127\ \mathrm{kg\ m\ s^{-1}}
(C)
96 kg m s−196\ \mathrm{kg\ m\ s^{-1}}
(D)
100 kg m s−1100\ \mathrm{kg\ m\ s^{-1}}
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