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A body starts with a velocity $2 i - 3 j + 11 k m/s$ and moves with an acceleration of $10 i + 10 j + 10 k {ms}^{- 2}$ . What is its velocity after 0.25 s

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4.5 \hat{i} + 0.5 \hat{j} - 13.5 \hat{k}

4.5 \hat{i} - 0.5 \hat{j} - 13.5 \hat{k}

4.5 \hat{i} - 0.5 \hat{j} + 13.5 \hat{k}

4.5 \hat{i} + 0.5 \hat{j} + 13.5 \hat{k}

answer is C.

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Detailed Solution

\vec{v} = \vec{u} + \vec{a} t

$= (2 \hat{i} - 3 \hat{j} + 11 \hat{k}) + (10 \hat{i} + 10 \hat{j} + 10 \hat{k}) 0.25$

$= 4.5 \hat{i} - 05 \hat{j} + 13.5 \hat{k}$

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