During the Great Muffin Wars of '98, students from rival residences became familiar with the characteristics of

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During the Great Muffin Wars of '98, students from rival residences became familiar with the characteristics of various muffins. Mushy Pumpkin Surprise, for example, was good for temporarily blinding an attacker, while Mrs. O'Brien's Bran Muffins, having the density of lacrosse balls, were used more sparingly, and mainly as a deterrent. According to the rules, all muffins must have a mass of 0.3 kg. During one of the more memorable battles, a muffin moving to the right at 5 m/s collides with a muffin moving to the left at 2 m/s. Find the final velocities if

(a) It is a perfectly inelastic collision of two pumpkin muffins, and

(b) It is an elastic collision of two bran muffins.

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