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Two particles, \(A\) and \(B\), lie at rest on a smooth horizontal plane.
\(A\) has position vector \(\mathbf { r } _ { A } = ( 13 \mathbf { i } - 22 \mathbf { j } )\) metres
\(B\) has position vector \(\mathbf { r } _ { B } = ( 3 \mathbf { i } + 2 \mathbf { j } )\) metres
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Calculate the distance between \(A\) and \(B\).
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14- A force of \(( 5 \mathbf { i } - 12 \mathbf { j } )\) newtons, is applied to \(B\), so that \(B\) moves, from rest, in a straight line towards \(A\).
\(B\) has a mass of 0.8 kg
14 - Show that the acceleration of \(B\) towards \(A\) is \(16.25 \mathrm {~ms} ^ { - 2 }\)
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- (ii) Hence, find the time taken for \(B\) to reach \(A\).
Give your answer to two significant figures.