Elastic Glancing Collision-HELP

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In an elastic glancing collision involving a 1 kg white ball and a 2 kg yellow ball, the white ball initially moves at 1.68 m/s and after the collision, its speed is 1.24 m/s. The yellow ball, initially at rest, is scattered at an angle of 280 degrees. The user attempted to apply conservation of kinetic energy and momentum equations but encountered a domain error when calculating the vertical component of momentum. The discussion raises questions about the validity of the calculations and whether the mass relationship affects the outcome. The problem highlights the complexities of solving elastic collision scenarios in physics.
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Elastic Glancing Collision-HELP!

A white ball, mass of 1 kg has a speed of 1.68 m/s and a yellow ball, mass of 2kg, is at rest prior to an elastic glancing collision. After the collision the white ball has a speed of 1.24 m/s. To the nearest tenth of a degree, measured counterclockwise from east, what angle does it scatter at if the yellow ball is scattered at 280degrees?

I don't know what equations to use for this problem!
 
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I used this equation:

1/2mv_1i^2 = 1/2mv_1f^2 + 1/2mv_2f^2 (the 1i, 1f, and 2f are subscripts indicating which velocities)

When I plugged in the numbers from the problem, I got that the final velocity for the yellow ball is 0.801m/s.

I then used the following equation:

Py=1kg(1.24m/s)sintheta+2kg(vyellow)sin280

But sin becomes greater than 1, so it's a domain error.

Am I doing something completely wrong?
Or is it possible that for this problem to work, the mass of the white ball must be greater than that of the yellow ball?
 

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