A particle is projected from the ground with an initial speed of v at an angle $\mathrm{\theta }$ with horizontal. The average velocity of the particle between its point of projection and highest point of trajectory is

• A

  $\frac{\mathrm{v}}{2}\sqrt{1+2{\cos }^2\mathrm{\theta }}$

• B

  $\frac{\mathrm{V}}{2}\sqrt{2{\cos }^2\mathrm{\theta }}$

• C

  $\frac{\mathrm{v}}{2}\sqrt{1+3{\cos }^2\mathrm{\theta }}$

• D

  v cos $\mathrm{\theta }$