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Q.

If \large \bar u = 2\bar i - 2\bar j + 3\bar k and the final velocity is \large \bar v = 2\bar i - 4\bar j + 5\bar k and it is covered in a time of 10 sec, find the average acceleration vector.

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a

\frac{{ - \bar j + \bar k}}{5}

b

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

c

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

d

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

answer is D.

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Detailed Solution

\overline a = \frac{{\overline v - \overline u }}{t} = \frac{{ - 2\widehat j + 2\widehat k}}{{10}} = \frac{{ - \widehat j + \widehat k}}{5}

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