In order to determine the density of a certain metal alloy in a laboratory class a student is measuring the mass and the dimensions of a cylinder made out of this alloy. she finds the mass to be 109.0 g with an uncertainty of 0.5 g. she then measures the diameter and the height of the cylinder. the diameter is 49.0 mm, and the height is 17.0 mm. the student made these length measurements with a millimeter ruler. what is the density of the alloy? 3.40 x 103 kg/m^3 you are correct. your receipt no. is 165-2495 previous tries what is the relative uncertainty of this measurement in percent units? (enter only a number without the percent sign.) .00340 submit answer incorrect. tries 1/12 previous tries what is the absolute uncertainty of this density measurement? 34.0 kg/m^3 submit answer incorrect. tries 3/12 previous tries

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.

k2s for potassium sulphide