Acar and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 n m, which is damped when moving in the vertical direction by a damping force famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. if y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period? ( how long does it takes for the amplitude to decrease by a factor of 1000? (50 marks) a harmonic oscillator with mass of 1 kg and a spring constant of 8.75 n m (b) is subject to a damping force fmp =-y, with y=6 kg s. the system is in equilibrium (x = 0) at time t= (0)=-45 cm s. determine the displacement x(t) and velocity (t) thereafter

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide

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.

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle