Collision between ball and wall

A particle moving with a velocity of ( 4 i ^ j ^ ) (4\hat{i}-\hat{j}) m/s strikes a fixed smooth wall and finally moves with a velocity of ( 3 i ^ + 2 j ^ ) (3\hat{i}+2\hat{j}) m/s. Find the coefficient of restitution between the wall and the partice in the collision. If it is in the form a b \dfrac{a}{b} , where a a and b b are positive coprime integers, then submit a + b a+b as answer.


The answer is 10.

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