9.7 Exercise 32

Two identical billiard balls collide. The first one is initially traveling at $\left(2.2 \text{m}/\text{s}\right) \hat{i} - \left(0.4 \text{m}/\text{s}\right) \hat{j}$ and the second one at $− \left(1.4 \text{m}/\text{s}\right) \hat{i} + \left(2.4 \text{m}/\text{s}\right) \hat{j}$. Suppose they collide when the center of ball 1 is at the origin and the center of ball 2 is at the point $\left(2 R , 0\right)$ where R is the radius of the balls. What is the final velocity of each ball?