Domain of the equation

Question

The maximum velocity of the Magnum XL-200 roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. v=8√¯h gives the relationship between maximum velocity, v (in feet per second), and height, h (in feet).

What is the domain of the equation? Write your answer in interval notation. Explain why you excluded certain values from the domain both mathematically AND in the context of the question.

Answer 1

mathematically, h ≥ 0. Negatives are not allowed under a square root

contextually, h ≥ 0. Hopefully the roller coaster is always above ground!