Today's class on current and resistance is about to begin and you await your professor, who is known for unorthodox demonstrations. he walks in just at the beginning time for the class, and is carrying hot dogs! he then proceeds to set up a demonstration using an older style of hot dog cooker in which the hot dogs are directly connected across 120 v from the wall socket. he has modified the cooker so it simultaneously applies the 120 v to three combinations: across the ends of a single hot dog, across the ends of two hot dogs in parallel, and across the outer ends of two hot dogs in series. he explains that he has measured the resistance of a hot dog to be 12.6 ω, and that a hot dog requires 79.0 kj of energy to cook it. he says he will give extra credit to anyone who, before any hot dog begins smoking, can determine which hot dog(s) will cook first, and the time interval for each hot dog to cook.

6 cos 34, 6 sin 34 trig

statement #3 on andre"s list is false.

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.