Two moving billiard balls, each with a mass of M, undergo an elastic collision. Immediately before the collision, ball A is moving east at 2 m/s and ball B is moving east at 4 m/s. a. In terms of M, what is the total momentum (magnitude and direction) immediately before the collision?

b. The final momentum, M(vA, f + vB, f), must equal the initial momentum. If the final velocity of ball A increases to 4 m/s east because of the collision, what is the final momentum of ball B?

c. For each ball, compare the final momentum of the ball to the initial momentum of the other ball. These results are typical of head-on elastic collisions. What generalization about head-on elastic collisions can you make?

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

hope this ! this is not copied! search it up, it's free of plagiarism!

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .