The position of a projectile launched from the origin at $t=0$ is given by $\vec{r}=(40 \hat{i}+50 \hat{j}) m$ at $t=$ $2 s$. If the projectile was launched at an angle $\theta$ from the horizontal, then $\theta$ is (take $g =10\,ms ^{-2}$ )

  • A

    $\tan ^{-1} \frac{2}{3}$

  • B

    $\tan ^{-1} \frac{3}{2}$

  • C

    $\tan ^{-1} \frac{7}{4}$

  • D

    $\tan ^{-1} \frac{4}{5}$

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