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Classical Mechanics Level 5

A ball with the initial velocity $u = 3i + 4j$ collides with the smooth wall and rebounds with the final velocity $v = 2i - 3j$ . Find the coefficient of restitution for the collision.

Your answer can be represented as $e$ = $\dfrac{a}{b}$ , where a and b are coprime numbers.

Enter your answer as $a + b$ .

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Try more here (Level 5 challenges)

This is a part of my set Aniket's Mechanics Challenges. (All level questions)