2D Elastic Collision Using Conservation of Momentum

[Dan K]

Homework Statement

Two objects collide and bounce off one another. After the collision, object m1 = 2.74 kg moves off at 12.8 m/s at a heading of 295 degrees. Object m2 = 2.28 kg moves off at 12.8 m/s at a heading of 241 degrees. Initially, m2 was traveling at 11.1 m/s at a heading of 334 degrees. What must have been the initial velocity of m1? Give the speed for your first answer and the compass heading for your second answer. (remember, the CAPA abbreviation for degrees is deg)

Homework Equations

P=mv and Pi = Pf and m1v1 + m2v2 = m1v1' + m2v2'

The Attempt at a Solution

I entered into LONCAPA "18.69 m/s" and "244.47 deg" and I get incorrect.
Here are some photos of my work:
https://drive.google.com/a/stewardschool.org/file/d/0BzSEVWCM57xURlRUYm5wbklwWEU/preview
I have spent like an hour on this question alone. Please Help!

 

[TSny]

Hello and welcome to PF!

Your work looks correct to me. I get the same answer as you.
Of course, you should double check that you have not misread any of the numbers in the original problem statement.

 

[mfb]

I get the same result as well.