An nhl hockey player (m=90 kg) stands motionless on the ice . the 10 kg stanley cup is thrown to the player at 4m/s. after he catches the cup determine the speed of the player cup combination. assuming there is no friction between the skates and the ice?

v=0.4 m/s

Explanation:

Mass hockey player

mass of  cup

Velocity of cup

let v be the velocity of the combined system

Conserving momentum

b

explanation:

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 .