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

Options

A. `(u^(2) + v^(2))/(alpha + beta)`
B. `(u^(2)-v^(2))/(alpha + beta)`
C. `(u^(2)-v^(2))/(beta - alpha)`
D. `(u^(2) + v^(2))/(beta - alpha)`

Answer

B