Range equation

Develop a range equation in terms of the variables angle,height,initial launch velocity and gravity.

Case 1: object shot from the ground to the ground

Case 2: object shot from a cliff to the ground

Note: these are really the same equation, But the first is a simplified version and should be easier to figure out and understand.

SHOW ALL WORK.

If you complete this and get bored try to solve the equation for the angle.  Do not start from scratch just use some algebra to rearrange the equation you already have.