$A$ small mass $m$ is launched from the top of a cliff with speed $V$ at an angle of $30^{\circ}$ above the horizontal. When the mass reaches the ground,its velocity is directed at $45^{\circ}$ below the horizontal. Which one of the following choices is the magnitude of the total impulse that was imparted to the mass during its flight? Ignore air resistance.

• A
  $\frac{1}{2}(\sqrt{3} + 1) mV$
• B
  $\sqrt{\frac{3}{2}} (\frac{\sqrt{2} + 1}{2}) mV$
• C
  $\frac{1}{2}(\sqrt{3} - 1) mV$
• D
  $\frac{1}{2}(\sqrt{\frac{3}{2}} + 1) mV$