while in safari, a tourist witnessed a 200 kg lion chasing down an 800 kg water buffalo, and eventually the lion jumping and grabbing on to the buffalo. Before collision the lion was running behind the water buffalo at 20.m/s and the buffalo running away from the lion at 25 m/s. What is the combined speed of the lion and the buffalo after collision?

Answer is in the photo. I can only upload it to a file hosting service. link below! Good Luck!

https://cutt.ly/kzjInUL

see earlier answer

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.