Unless otherwise specified in the question, responses to numerical question must be within 5% of the correct answer. try out different responses to the following question, which has an answer of 20, where a correct response is between 19 and 21. what is the average velocity (in kilometers per hour) of a cart that travels 100 km in 5 hours?

20 km/h

Explanation:The speed is calculated by dividing the distance traveled over the time used, both in the indicated unit. In this case we travel 100 km in 5 hours, then the average speed is 100 km/5h= 20km/h.  Then the answer of the average speed is exactly 20 km/h, even though during that time it could travel at different speeds, in total at the end it was traveled in average 20 km per hour.

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.