The maximum velocity of a roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula:V(h)=√h-2 , gives the relationship between maximum velocity, V(h) in feet per second, and height, h in feet.

Question

1. Identity the independent variable, dependent variable.
2. What is the domain of the radical function V?
3. What is the maximum velocity V(h) of the roller coaster when the height h is 66 feet? (Specify and explain your answer in words.
4. What is the height h of the roller coaster, if its maximum velocity V(h) is 32 feet per second? Specify and explain your answer in words.

Answer 1

assuming you mean √(h-2), then the domain is [2,∞)

what's to explain? plug h=66 into the formula
v = √(66-2) = √64 = 8

√(h-2) = 32
h-2 = 1024
h = 1026

Answer 2

The maximum velocity of a roller coaster using the formula v=8 ^h when the height is 203 feet