Consider a projectile that is launched from ground level at a particular angle. The launch point is the origin, and the motion stops when the projectile returns to ground level.

In other words:

• x_o = 0
• y_o = 0
• y = 0

The only acceleration is the acceleration due to gravity, and the positive directions are +x = right and +y = up.

Determine general equations that give, under the constraints above:

• the maximum height
• the time of flight
• the range (maximum horizontal distance)