A particle executes SHM on a straight line. At two positions, its velocities are u and v while accelerations are α and ß respectively [ß > α > 0] . The distance between these two positions is

• A

  $\frac{{\mathrm{u}}^2+{\mathrm{v}}^2}{\mathrm{\alpha }+\mathrm{\beta }}$

• B

  $\frac{{\mathrm{u}}^2-{\mathrm{v}}^2}{\mathrm{\alpha }+\mathrm{\beta }}$

• C

  $\frac{{\mathrm{u}}^2-{\mathrm{v}}^2}{\mathrm{\beta }-\mathrm{\alpha }}$

• D

  $\frac{{\mathrm{u}}^2+{\mathrm{v}}^2}{\mathrm{\beta }-\mathrm{\alpha }}$