A block slides down a rough inclined plane of slope angle $\mathrm{\theta }$ with a constant velocity. It is then projected up the same plane with an initial velocity v. The distance travelled by the block up the plane before coming to rest is

• A

  $\frac{{\mathrm{v}}^2}{4\mathrm{gsin}\theta }$

• B

  $\frac{{\mathrm{v}}^2}{2\mathrm{gsin}\theta }$

• C

  $\frac{{\mathrm{v}}^2}{\mathrm{gsin}\theta }$

• D

  $\frac{4{\mathrm{gv}}^2}{\sin \theta }$