You are standing on a sheet of ice that covers the football stadium parking lot in buffalo; there is negligible friction between your feet and the ice. a friend throws you a 0.425 kg ball that is traveling horizontally at 12.0 m/s . your mass is 68.5 kg . for related problem-solving tips and strategies, you may want to view a video tutor solution of astronaut rescue. part a if you catch the ball, with what speed do you and the ball move afterwards? express your answer in centimeters per second.

0.074m/s

Explanation:

We need the formula for conservation of momentum in a collision, this equation is given by,

Where,

= mass of ball

= mass of the person

= Velocity of ball before collision

= Velocity of the person before collision

= velocity of ball afer collision

= velocity of the person after collision

We know that after the collision, as the person as the ball have both the same velocity, then,

Re-arrenge to find ,

Our values are,

= 0.425kg

= 12m/s

= 68.5kg

= 0m/s

Substituting,

The speed of the person would be 0.074m/s after the collision between him/her and the ball

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.