2. An object thrown from a height of 2 m above the ground follows a parabolic path until the object falls to the ground (see figure below). If the object reaches a maximum height (measured from the ground) of 7 m after travelling a horizontal distance of 4 m, determine the horizontal distance between the object's initial and final positions.

2. An object thrown from a height of 2 m above the ground follows a parabolic path until the object falls to the ground (see figure below). If the object reaches a maximum height (measured from the ground) of 7 m after travelling a horizontal distance of 4 m, determine the horizontal distance between the object's initial and final positions.