Abaseball is hit with a bat. the direction of the ball is completely reversed and its speed is doubled. if the actual contact with the bat lasts 0.41 s, what is the ratio of the acceleration to the original velocity?

The solution would be like this for this specific problem:

Given: velocity = -2v

So:

Δv = v - (-2v) = 3v

a = Δv / Δt

= 3v / 0.41

= 7.32

So, the ratio of acceleration of the baseball to its original velocity is 7.32

answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.

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 .