Two projectiles A and B are thrown from the same point with velocities v and v/2, respectively. If B is thrown at an angle 45° with horizontal, what is the inclination of A when their ranges are the same?

• A

  ${\sin }^{-1}\left(\frac{1}{4}\right)$

• B

  $\frac{1}{2} {\sin }^{-1}\left(\frac{1}{4}\right)$

• C

  $2 {\sin }^{-1}\left(\frac{1}{4}\right)$

• D

  $\frac{1}{2} {\sin }^{-1}\left(\frac{1}{8}\right)$