Rotational Kinematics (Ball hits stick)

[amnestic]

Homework Statement

A 1 kg ball is traveling horizontally at 10 m/s. It hits a stick of mass 1kg and length 1.2m (rotational inertia 1/12 M L^2) at the bottom of the stick, which rotates upward 90 degrees from its previous location. The ball's direction changes by an angle theta. Find theta and the new velocity.

Homework Equations

U potential=mgh
K=(1/2)mv^2
L=Iw
K=(1/2)Iw^2

The Attempt at a Solution

U of stick=(1)(9.8)(.6)=5.88
This equals Kinetic Energy lost
5.88=(1/2)(1)(v^2)
v=3.43
10-3.43=6.57m/s

I have no idea how to find the theta though. I don't understand why the ball would even change direction. Wouldn't it just go the same direction at a slower pace?

 

[Matterwave]

I'm not sure this problem is possible, without at least knowing where on the stick the ball hit and how fast the stick was moving...

 

[amnestic]

Sorry about that.

I made the edit to include that it hits the stick at the bottom.