Which one of the following gives the angle made by the resultant velocity after t seconds for projectile of initial velocity u, projected at an angle $\mathrm{\theta }$ with the horizontal ?

• A

  ${\tan }^{-1}\left(\frac{\mathrm{gt}}{\mathrm{ucos}\mathrm{\theta }}\right)$

• B

  ${\tan }^{-1}\left(\frac{\mathrm{t}}{\mathrm{ucos}\mathrm{\theta }}\right)$

• C

  ${\tan }^{-1}\left(\tan \mathrm{\theta }-\frac{\mathrm{gt}}{\mathrm{ucos}\mathrm{\theta }}\right)$

• D

  ${\tan }^{-1}\left(\tan \mathrm{\theta }+\frac{\mathrm{gt}}{\mathrm{ucos}\mathrm{\theta }}\right)$