A hammer head of mass 600g, produces force of 360N when it strikes the head of a nail Explain how it's possible for the hammer to
drive the nail into a piece of wood, yet a weight of360N resting on the head of
Nail would not??

Explanation:

When a hammer is swung in the air, it accumulates the energy in the form of kinetic energy and this energy is imparted to the nail in an instant produces a  

a large amount of force to drive the nail into the wood.

The amount depends upon how large your swing and the size of the hammerhead as more energy will be accumulated if the above process occurs to a greater extent.

grav potential energy

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.