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Q.

A shell is fired from a fixed cannon with a velocity 'v' at an angle θ with the horizontal direction. At the highest point on its path, it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon. The speed of the other piece immediately after the  explosion is

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a

3 v cos θ

b

2 v cosθ

c

32∨cos⁡θ

d

32∨cos⁡θ

answer is A.

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Detailed Solution

mvcos⁡θ=m2(−vcos⁡θ)+m2v′v′=3vcos⁡θ
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