Final answer:
To provide the inequality representing height restrictions for an attraction, additional specific information about the height limits is required. Without this, one can only speculate on the inequality, which could be 'h ≤ 114 m' or 'h ≥ 114 m' depending on whether it is a maximum or minimum height requirement.
Step-by-step explanation:
The student's question is regarding the inequality that represents the height restrictions for an attraction. Since the given context involves concepts like gravitational potential energy, projectile motion, and acceleration due to gravity, this is a physics problem. The student provided the equation h = 2g, which defines the maximum height of a projectile based on its initial velocity. However, the information given does not directly hint at a specific height restriction for this attraction. To determine an inequality for height restrictions (h), more information is needed regarding the specific conditions of the attraction, such as minimum and maximum heights allowed for participants.
Referring to the provided information, the inequality < or > would depend on whether the attraction requires a minimum or maximum height. If the attraction specifies a height requirement of exactly 114 meters (for example, maybe a drop tower with a maximum ride height), then the inequality representing this height restriction could be as simple as h ≤ 114 m or h ≥ 114 m, depending on whether we are dealing with a minimum or maximum height restriction.