When kicking a football, the kicker rotates his leg about the hip joint. a) if the velocity of the tip of the kicker's shoe is 36.5 m/s and the hip joint is 1.15 mm from the tip of the shoe, what is the shoe tip's angular velocity? rad/s b) the shoe is in contact with the initially nearly stationary 0.500 kg football for 40.5 ms. what average force is exerted on the football to give it a velocity of 24.024.0 m/s? n c) find the maximum range of the football, neglecting air resistance.

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 .

the components of a vector are the parts of the vectors that are to each other.

b perpendicular