Ball colliding with a wall

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
I have dealt with the case when the wall is frictionless and the rolling ball collide with it but I am not sure how to proceed here. When the ball comes in contact with the wall, the friction due to wall acts in the vertically upward direction for a very short time. Hence,
$$\int fR\,dt=I(\omega_f-\omega_i)$$
and
$$\int f\,dt=mv_i$$
where ##f## is the friction due to wall and ##R## is the radius of ball. How do I relate ##v_i##, ##\omega_f## and ##\omega_i##? (where ##v_i## is the velocity acquired by ball in vertically upward direction.) :confused:

Also, which angle does the problem talks about? Is it the angle made by line joining the intersection of wall and floor with centre of ball and the ground? :confused:

Any help is appreciated. Thanks!

Attached Images
File Type: png ball colliding with wall.png (8.9 KB)

http://ift.tt/1fnty2Z

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