Impulse is the change in momentum. Therefore Impulse is only equal to momentum if the initial momentum was equal to zero. Its the same phenomenon as position and displacement.
Impulse= final momentum-initial momentum= mv - mv_0= Force * Time
Where m is the mass and v is the velocity.
A change in impulse equals a change in momentum. However, Impulse is the product of force and time, as is momentum, so they are not exactly the same thing.
Strictly speaking, you would say that a force acts on a system and the impulse of that force corresponds to the change in momentum of the system due to the action of the force. More mathematically, the impulse of a force is defined as the integral of that force with respect to time over the time period that the force acts.
What does it mean to say momentum is conserved?
it could be said that since potential energy (mgh) is lost at the exact rate kinetic energy (ke) is gained, that energy is translated into another form since force applied (gravity) over time then impulse applied and increase of momentum
the total momentum after a collision must be equal the total momentum before the collision.
To be incorrect is avoir faute
you cannot say "he have" this is incorrect, it is " he has"
Momentum is a vector, it is mass times velocity. To say that momentum slows is the same as saying that velocity (speed) drops - it is making something simple sound complicated.
Being proportional means that if you change one by a given factor, the other will change by that factor as well. Being proprtional to both means it is proportional to their product, i.e. momentum equals mass times velocity, p = mv.
It is grammatically incorrect to say sister and sister. You just say sisters.
You say that momentum is conserved. This is always the case, if the system has no interaction with anything outside the system.
Momentum is related to velocity and mass. When an object's velocity is zero relative to its surroundings, it has no momentum. Therefore it is untrue to say that an object never looses its momentum.