Consider four objects: (a), a solid sphere; (b), a spherical shell; (c), a solid disk; and (d), a metal hoop. all have the same mass and radius; all can be placed at the same point on the same inclined plane where they will roll without slipping to the bottom. the answer to the following questions might also be (e), all are the same.(a) which object has the largest rotational inertia about its axis of symmetry? (b) if released from rest, which object will experience the largest net torque? (c) if released from rest, which object will experience the largest linear acceleration? (d) if allowed to roll down the incline, which object will havethe largest speed at the bottom of the incline? (e) if allowed to roll down the incline, which object will reach the bottom of the incline in the shortest time?

the answer is neither ball has a charge.

because if they were both positively charged, they will repel each other.

if they were positively and negatively charged, they will seek.

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.