A child easily pushes an empty shopping cart around the store. As the cart fills, the child has to exert more force to keep the shopping moving and keep up with his mom. Which law is best supported by this example? A. Newton's First Law

B. Newton's Second Law

C. Newton's Third Law

D. The law of definite proportions

B Newton's second law

Explanation:

An empty grocery cart is easier to move because there is less mass in an empty cart compared to a full cart. Newton's second law state that an object's acceleration depends on the mass of the object and the force applied.

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.