A rocket's (x) component of acceleration is given by (a_{x}=b t), where (b=1.00 mathrm{~m} / mathrm{s}^{3}). The

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A rocket's \(x\) component of acceleration is given by \(a_{x}=b t\), where \(b=1.00 \mathrm{~m} / \mathrm{s}^{3}\). The rocket begins accelerating from rest at \(t=0\).

(a) What is its \(x\) component of acceleration at \(t=10.0 \mathrm{~s}\) ?

(b) What is its \(x\) component of velocity at \(t=10.0 \mathrm{~s}\) ?

(c) What is its \(x\) component of average acceleration for the 10. 0 -s interval?

(d) How far does it travel in the 10. 0-s interval?

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