Explain the following:
$(i)$ Why do the doors of a corridor train open or shut when the train starts or stops?
$(ii)$ Why is it necessary to run along with a moving bus in the same direction while alighting from it?
$(iii)$ Why does a player run for some distance before taking a long jump?
$(iv)$ Why does a person fall off the back of a stationary horse if the horse starts off suddenly?
$(v)$ Why is a neat hole formed in a glass pane if a bullet is fired at it from a close range?

(N/A) $(i)$ The doors of a train tend to continue in their state of rest or motion due to the inertia of rest or motion when the train starts or stops suddenly. Thus,the doors swing due to the change in the state of the train.
$(ii)$ While alighting from a moving bus,the feet of the person come to rest upon touching the ground,while the upper body remains in a state of motion. To avoid falling forward due to inertia of motion,it is necessary to run in the same direction as the bus.
$(iii)$ $A$ player runs for some distance before taking a long jump to gain inertia of motion,which helps the player cover a greater distance during the jump.
$(iv)$ $A$ person falls backward when a stationary horse starts suddenly because the lower part of the person's body,which is in contact with the horse,moves forward,but the upper part of the body tends to remain in its state of rest due to the inertia of rest.
$(v)$ When a bullet is fired at a glass pane,a neat hole is formed because the bullet moves at a very high speed. Due to the inertia of rest,the glass particles in the immediate path of the bullet do not get enough time to move,while the rest of the glass pane remains stationary.