A particle in the plane has acceleration

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle in the plane has acceleration a(t)=⟨3,−4⟩\mathbf a(t)=\langle 3,-4\rangle. If v(0)=⟨1,2⟩\mathbf v(0)=\langle 1,2\rangle and r(0)=⟨0,5⟩\mathbf r(0)=\langle 0,5\rangle, what is r(2)\mathbf r(2)? (a) ⟨6,−3⟩\langle 6,-3\rangle (b) ⟨8,1⟩\langle 8,1\rangle (c) ⟨8,17⟩\langle 8,17\rangle (d) ⟨7,−1⟩\langle 7,-1\rangle

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