3 A jet fighter has a mass at take-off of 28 000 kg. a)Its engines produce a force of 70 000 N. What
is its acceleration?
b) What is its acceleration if the force from the
engine is increased to 120 000 N?

A. 2.5 m/s²

B. 4.29 m/s²

Explanation:

A. Determination of the acceleration.

Mass (m) = 28000 Kg

Force (F) = 70000 N

Acceleration (a) =?

Force (F) is simply defined as the product of mass (m) and acceleration (a). Mathematically, it is expressed as:

Force (F) = mass (m) × acceleration (a)

F = ma

Divide both side by m

a = F / m

With the above formula, we can obtain the acceleration as follow:

Mass (m) = 28000 Kg

Force (F) = 70000 N

Acceleration (a) =?

a = F / m

a = 70000 /28000

a = 2.5 m/s²

B. Determination of the acceleration.

Mass (m) = 28000 Kg

Force (F) = 120000 N

Acceleration (a) =?

a = F / m

a = 120000 /28000

a = 4.29 m/s²

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.