125-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 8,700-kg truck moving in the same direction at 20.0 m/s. The velocity of the car right after the collision is 18.0 m/s to the east. What is the velocity of the truck right after the collision

The velocity of truck after collision is 20.1

Explanation:

Given:

Mass of car kg

Initial velocity of car

Mass of truck kg

Initial velocity of truck

Velocity of car after the collision

For finding the velocity of truck after the collision,

According to the linear momentum conservation

Where velocity of truck after the collision,

Therefore, the velocity of truck after collision is 20.1

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.

t = 1/400 h   ⇔ 0.0025 h ⇔ 9s ⇔ 0.15 m

any of the answers are correct.