A75 kg man is standing at rest on ice while holding a 4kg ball. if the man throws the ball at a velocity of 3.50 m/s forward, what will his resulting velocity be?

His resulting velocity will be 0.187 m/s backwards.

Explanation:

Given:

Mass of the man is,

Mass of the ball is,

Initial velocity of the man is,

Initial velocity of the ball is,

Final velocity of the ball is,

Final velocity of the man is,

In order to solve this problem, we apply law of conservation of momentum.

It states that sum of initial momentum is equal to the sum of final momentum.

Momentum is the product of mass and velocity.

Initial momentum = Initial momentum of man and ball

Initial momentum =

Final momentum = Final momentum of man and ball

Final momentum =

Now, initial momentum = final momentum

The negative sign implies backward motion of the man.

Therefore, his resulting velocity is 0.187 m/s backwards.

a.) travels faster in solids because the particles are closer together.

air is a gas water is a liquid

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.