You're on one of those stunt game shows where you have to throw a ball at a big pendulum and win money by making the pendulum swing as high as...

You're on one of those stunt game shows where you have to throw a ball at a big pendulum and win money by making the pendulum swing as high as possible. You get one throw, and you have two objects to choose from: a perfectly elastic bouncy ball, and a clay ball with the same mass as the bouncy ball that will hit and stick to the pendulum. Which ball do you throw at the pendulum to make it swing the highest and win the most money?