Imagine a scenario involving a bungee jumper leaping from a bridge, with the jumper's height above the river surface modeled by the equation h(t) = -0.5t² + v₀t + h₀ , where h is measured in meters, t is in seconds, v₀ represents the jumper's initial velocity in meters per second, and h₀ is the initial height above the river. Given v₀ = 0 m/sec and h₀ = 210 meters.
(i) Based on this scenario, answer the following questions that are related to the mathematical understanding of the concept:
(a) What is the domain and range of h(t)? What is the physical significance of domain and range in this scenario?
