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Question
A mosquito is moving with a velocity $\overrightarrow v = 0.5{t^2}\widehat i + 3t\widehat j + 9\widehat k$ m/s and accelerating in uniform conditions. What will be the direction of mosquito after 2 s?
${\tan ^{ - 1}}\left( {{\sqrt {85} } \over 6}\right)$ from y-axis
${\tan ^{ - 1}}\left( {{5 \over 2}} \right)$ from y-axis
${\tan ^{ - 1}}\left( {{2 \over 3}} \right)$ from x-axis
${\tan ^{ - 1}}\left( {{5 \over 2}} \right)$ from x-axis

Solution

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