a ball of mass m is attached to a string of length r and negligible mass. the ball moves clockwise in a vertical circle, as shown above. when the ball is at point p, the string is horizontal. point q is at the bottom of the circle and point z is at the top of the circle. air resistance is negligible. express all algebraic answers in terms of the given quantities and fundamental constants.

the rearrangement of particles in a physical change. hope this

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 .

im srry but ur wrong the answer is d a smooth rock, some red dirt, and an empty bird's nest.