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Mathematical Methods — Question 10

QCAA 2021, Paper 2 · 1 mark

Q10 · 2021 · Technology-activeSimple familiar1 mark

QUESTION 10

An object travels in a straight line so that its velocity at time tt seconds is given by v(t)=2t+sin⁡(2t)v(t)=2t+\sin(2t). Determine the expression for acceleration as a function of time.
(A)
a(t)=2+2cos⁡(2t)a(t)=2+2\cos(2t)
(B)
a(t)=2−12cos⁡(2t)a(t)=2-\dfrac12\cos(2t)
(C)
a(t)=t2+2cos⁡(2t)a(t)=t^2+2\cos(2t)
(D)
a(t)=t2−12cos⁡(2t)a(t)=t^2-\dfrac12\cos(2t)
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