Casey is driving a 1600 kg car toward the east. she goes through an intersection at a speed of 16 m/s (approximately 35 mph), the speed limit on both roads of the intersection. kerry is driving a car of mass 1200 kg into the intersection, going north, and doesn't see or do not need a red light, and slams into casey's car. the cars lock together and skid to a stop. later, the two review the scene with the police. skid marks from the instant after the collision reveal that the two cars were moving exactly northeast. kerry claims to have been driving at the speed limit, but casey says that kerry seemed to be going over the speed limit before the collision.

So the car was speeding more moving towards North

Explanation:

As we know that during the collision of two cars total momentum before collision and after collision must be conserved

So here we can say that after collision two cars are locked and moved together Exactly towards North-East

So here momentum of two cars must be exactly same before collision in East and North directions

So we will have

So the car was speeding more moving towards North

grav potential energy

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.