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Algebra

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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.

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.

  • Algebra -

    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

  • Algebra -

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

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