A ball is projected with initial velocity u at angle θ to the horizontal. Then horizontal displacement covered by ball as it collides third time to the ground would be, if coefficient of restitution is e:

(A) $\left(1+e\right)\frac{u^2 \sin 2\theta }{g}$                         (B) $e\frac{u^2 \sin 2\theta }{g}$
(C) $\left(1-e\right)\frac{u^2 \sin 2\theta }{g}$                         (D) $\left(1+e+e^2\right)\frac{u^2 \sin 2\theta }{g}$