# What Happens After an Elastic Collision Between a Golf Ball and a Billiard Ball?

## Calculating Velocities After the Elastic Collision:

Plugging in the given values and solving for the velocities after the collision:

**Velocity of Golf Ball After Collision:**

Using the kinetic energy conservation equation:

1/2 x m(golf ball) x (v(golf ball) after)^2 + 1/2 x m(billiard ball) x (v(billiard ball) after)^2 = 1/2 x m(golf ball) x (v(golf ball))^2 + 1/2 x m(billiard ball) x (v(billiard ball))^2

Solving for v(golf ball) after, we get: v(golf ball) after = 38.375 m/s to the right

**Velocity of Billiard Ball After Collision:**

Solving for v(billiard ball) after, we get: v(billiard ball) after = -18.9375 m/s to the left

Therefore, after the elastic collision, the golf ball is moving faster to the right, while the billiard ball is moving slower to the left.