1. What is the momentum of a 0.15 kg arrow that is traveling at 120 m/s?
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2. What is the mass of an object with a momentum of 250 kgm/s and a velocity of 5 m/s?
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For this case we have that by definition, the momentum equation is given by:

Where:

m: It is the mass

v: It is the velocity

According to the data we have:

Substituting:

On the other hand, if we clear the variable "mass" we have:

According to the data we have:

Thus, the mass is

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 .