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Math Help - question . Functions, Domain & Range

  1. #1
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    Question question . Functions, Domain & Range

    Please help ASAP with this question i've been going at this for 2hrs my brains is going to explode ...

    1. "The stopping distance of a car on dry asphalt can be modelled by the function d(s) = 0.006s^2, where d(s) is the stopping distance, in metres, and s is the speed of the car in kilometres per hour. The stopping distance for a car on wet asphalt can be modelled by the function d(s) = 0.009s^2. The stopping distance for a car on ice can be modelled by the function d(s)=o.o4s^s"

    2. "Write a reasonable domain and range for each of the functions d(s)=0.006s^2, d(s)=0.009s^2, and d(s)=0.04s^2"
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  2. #2
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    Re: question . Functions, Domain & Range

    The stopping distance d(s) will always be non-negative.
    Since a car can go backwards and forwards, s can be negative or positive.
    However, due to the limitations of car speeds, s could probably only exist in a reasonable domain.

    If I had to answer, I would start out by "assuming" that a car can only have speeds from [-50, 120].
    Now graph the d(s) functions. The lowest value of d(s) should be 0, and the highest values should be on the endpoints.
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  3. #3
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    Re: question . Functions, Domain & Range

    According to Wikipedia and the World of Physics, speed is a nonnegative value as the absolute value (magnitude) of the velocity.
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  4. #4
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    Re: question . Functions, Domain & Range

    So I would put the domain of s as [0,120].
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  5. #5
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    Re: question . Functions, Domain & Range

    Quote Originally Posted by shuckle1729 View Post
    So I would put the domain of s as [0,120].
    Yes, unless you never wanted to drive faster!
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