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Explain why some of the leaves may get detached from a tree if we vigorously shake its branch.

When the branch of the tree is shaken vigorously, the branch attain . However, the inertia of the leaves in attached to the branch  the motion of the branch.
 
Therefore, the leaves that are weakly attached to the branch  the tree and  due to inertia whereas the leaves that are firmly attached to the branch .