The equation of motion of a particle travelling along the (x)-axis is given as where (b=0.4 mathrm{~m}

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The equation of motion of a particle travelling along the \(x\)-axis is given as

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where \(b=0.4 \mathrm{~m} / \mathrm{s}^{3}, c=0.5 \mathrm{~m} / \mathrm{s}^{2}\) and \(d=50 \mathrm{~m} / \mathrm{s}\).

(a) Calculate the particle's acceleration \(t=20 \mathrm{~s}\).

(b) What is the distance travelled at \(t=5 \mathrm{~s}\) ? \(~\)

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