A certain aircraft has a mass of 300,000 kg. At a certain instant during its landing, its speed is 27.0 m/s. If the braking force is a constant 445,000 N, what is the speed of the airplane 10.0 s later?

41.3 m/s

Explanation:

Speed: This can be defined as the rate of change of distance. The S.I unit of speed is m/s.

From Newton's fundamental equation,

F = ma Equation 1

Where F = force, m = mass, a = acceleration.

make a the subject of the equation,

a = F/m Equation 2

Given: F = 445000 N, m = 300000 kg.

Substitute into equation 2

a = 445000/300000

a = 1.48 m/s².

Also,

a = (v-u)/t Equation 3

Where v = final speed, u = initial speed, t = time.

Given: u = 27 m/s, t = 10 s.

Substitute into equation 3

1.48 = (v-27)/10

v-27 = 1.48×10

v-27 = 14.8

v = 41.3 m/s.

Thus the speed = 41.3 m/s

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.