If \( a=\left(3 t^{2}+2 t+1\right) \mathrm{m} / \mathrm{s}^{2} \) i...

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If \( a=\left(3 t^{2}+2 t+1\right) \mathrm{m} / \mathrm{s}^{2} \) is the expression according to
\( \mathrm{P} \) which the acceleration of a particle varies. Then -
\[
a=\left(3 t^{2}+2 t+1\right) \mathrm{m} / \mathrm{s}^{2}
\]
W.
The expression for instantaneous velocity at any time ' \( t \) ' will be (if the particle was initially at rest)
(A) \( t^{3}+2 t+1 \)
(B) \( t^{3}+t+1 \)
(C) \( t^{3}+t^{2}+1 \)
(D) \( t^{3}+t^{2}+\mathrm{t} \)
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