Elastic/inelastic collision velocity?

Question

Jeanne rolls a 7 kg bowling ball down the alley for the league championship. One pin is still standing, and Jeanne hits it head on with a velocity of 9 m/s. The 2.0 kg pin acquires a forward velocity of 14 m/s. What is the new velocity of the bowling ball?

Answer 1

Applying the law of conservation of momentum just before and after collision

7x9 = 2x14 + 7xv; This gives us v = 5 m/s
ball should have 5 m/s velocity.