The acceleration of a particle can be represented by the equation (a(t)=t^{2}). The particle begins accelerating from
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The acceleration of a particle can be represented by the equation \(a(t)=t^{2}\). The particle begins accelerating from rest at \(t=0\).
(a) What is its acceleration at \(t=2 \mathrm{~s}\) ?
(b) What is the velocity at \(t=2 \mathrm{~s}\) ?
(c) What is the average acceleration between \(t=0\) and \(t=2 \mathrm{~s}\) ?
(d) What is the distance traveled between \(t=0\) and \(t=2\) s?
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