Question

give me written solution

Answer 1

1) Dust particles were at rest on the carpet. However when you beat the carpet, you are forcing the dust to move along with the carpet. Due to the dust having inertia, it doesn't move, or rather, it resists motion. This is why dust comes out of a carpet when it is beaten with a stick.
2) When the bus stops suddenly, the luggage on the roof top will fall forward due to inertia of motion. Similarly when the bus starts the luggage will fall backwards due to inertia of rest. To avoid this, any luggage kept on the roof of a bus is tied with a rope. 

Answer 2

1) when we hit the carpet, dust which is stored in it comes out because of the inertia. The force with which we hit the carpet is carried on by the dust which results the following ans.