$(a)$ Why are the wheels of vehicles provided with mudguards?
$(b)$ $A$ cricket player lowers his hands while catching a ball. Why?
$(c)$ Why is a glass pane of a window shattered when a flying pebble hits it?

(N/A) This is because the wheel rotates continuously,but the mud sticking to the wheel tends to move in a straight line due to the inertia of direction. Consequently,it flies off tangentially.
$(b)$ By lowering his hands,the cricketer increases the time taken to catch the ball. This decreases the rate of change of momentum,thereby reducing the impulsive force exerted on his hands.
$(c)$ The high velocity of the pebble is reduced to zero in a very short interval of time. According to Newton's second law,this results in a very large force being exerted on the glass pane,causing it to shatter.