If $\vec{u} = 2 \hat{i} - 2 \hat{j} + 3 \hat{k}$ is the initial velocity of a body $\vec{v} = 2 \hat{i} - 4 \hat{j} + 5 \hat{k}$ is the final velocity which attains in a time of 10 s, then its acceleration vector is

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$\frac{- 3 \hat{i} + \hat{j} + 2 \hat{k}}{10}$

$\frac{- 3 \hat{i} + 2 \hat{j} + 2 \hat{k}}{10}$

$\frac{- \hat{j} + \hat{k}}{5}$

$\frac{3 \hat{i} - 2 \hat{j} + 2 \hat{k}}{10}$

answer is D.

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Detailed Solution

$\bar{a} = \frac{\bar{v} - \bar{u}}{t}$

$= \frac{- 2 j + 2 k}{10}$

$\bar{a} = \frac{- j + k}{5}$

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