The range of a projectile depends not onlly on vo and
theta0but also on the value g of the free-fall acceleration, which
variesfrom place to place. in 1936, jesse owens established
aworld's running broad jump record of 8.09 m at the olympic games
atberlin (g = 9.8128 m/s^2). assuming the same values of vo
andtheta0, by how much would his record have differed if he
hadcompeted instead in 1956 at melbourne (g = 9.7999m/s^2)?

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.

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.