A ball is tossed horizontally with a velocity of 25 m/s from a height of 125m above the ground. [Show all work including the equations and substitutions with units] ∙ Calculate how long it will take for the ball to hit the ground
∙ Calculate the vertical velocity (Y-axis) of the ball just before impact
∙ Calculate the far the ball travelled horizontally during its flight
∙ Calculate the magnitude of the resultant velocity as the ball strikes the ground.

grav potential energy

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 .