"one step in the manufacture of silicon wafers used in the microelectronics industry is the melt crystallization of silicon into a crystalline silicon ingot. this processis carried out within a special furnace. when the newly solidified ingot is removed from the furnace, it is assumed to have a uniform initial temperature of 1600 k, which is below the crystallization temperature. at this temperature, the thermal conductivity of silicon is 22 w/(m•k), the density is 2300 kg/m3, and the heat capacity is 1000 j/(kg•k). the hot solid silicon ingot is allowed to cool in air maintained at a constant ambient temperature of 30°c. the diameter of the silicon rod is 15 cm. end effects are considered negligible. the convective heat transfer coefficient is 147 w/(m2•k). what temperature will exist 1.5 cm from the surface of the ingot after a cooling time of 583 sec (9.72 min)? " consider the rod as acylinder placed vertically.

mass and volume are the answers you are looking for

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.

answera compound;