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Vectors and matrices — Question 1

QCAA 2020, Paper 2 · 1 mark

Q1 · 2020 · Technology-activeSimple familiar1 mark

QUESTION 1

The position xx (m) at time tt (s) of a 77 kg particle moving in a straight line is given by
x=3t3−5t2+2t−4x=3t^3-5t^2+2t-4 for 0≤t≤100\le t\le10.
Determine the time when the particle has a momentum of 620620 kg m s−1^{-1}.
(A)
1.731.73 s
(B)
2.602.60 s
(C)
3.663.66 s
(D)
3.713.71 s
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