give reasons: 1. explain why some leaves get detached from a tree if we vigourously shake its branch 2.why do you fall forward when a moving bus brakes to a stop and fall backwards when it accelerates from rest 3.when a carpet is beaten with a stick dust comes out 4.why is it advised to tie any luggage kept on the roof of a bus with a rope.

The answer to all these questions is Inertia. It is the property of all bodies which is directly proportional to their mass and opposes any change in its initial state of motion.

So,

1) When we shake the tree, the leaves opposes the change in their motion of rest and thus gets detached by that force of opposition.

So is the reason of 2 and 3 and 4