Y component of velocity is 20 and X compon

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$Y $ component of velocity is $20$ and $X$ component of velocity is $10$. The direction of motion of the body with the horizontal at this instant is

A

${\tan ^{ - 1}}(2)$

B

${\tan ^{ - 1}}(1/2)$

C

$45^°$

D

$0^°$
$Y $ component of velocity is $20$ and $X$ component of velocity is $10$. The direction of motion of the body with the horizontal at this instant is
${v_y} = 20$ and ${v_x} = 10$
$\therefore $ velocity $\vec v = 10\hat i + 20\hat j$
direction of velocity with $X$ axis
$\tan \theta = \frac{{{v_y}}}{{{v_x}}} = \frac{{20}}{{10}} = 2$
$\therefore $ $\theta = {\tan ^{ - 1}}(2)$