A projectile is thrown with speed $40 \,ms ^{-1}$ at angle $\theta$ from horizontal. It is found that projectile is at same height at $1 \,s$ and $3 \,s$. What is the angle of projection?

  • A

    $\tan ^{-1}\left(\frac{1}{\sqrt{2}}\right)$

  • B

    $\tan ^{-1}\left(\frac{1}{\sqrt{3}}\right)$

  • C

    $\tan ^{-1}(\sqrt{3})$

  • D

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

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