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Math Help - Radical functions

  1. #1
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    Radical functions

    hey everyone,
    im not here to just get answers because im lazy, im here because i got a 10 page notebook and ive done 90 pct of the questions and just a few is left. This question really confuses me, i just need help to solve it so i can be done
    thnx if u help me(im new here)

    A student designs a special container as a part of an egg drop experiment. she believes the container can withstand a fall as long as the speed of the container does not exceed 80 ft/s. shes uses this equation
    v=sqrt(v0)2+2ad (the whole thing is square root)
    to model the velocity v, in feet per second, as a function of constant acceleration, a, in feet per second squared and the drop distance d in feet. the acceleration due to gravity is 32ft/s2

    a) will the egg break if the student drops the egg from shoulder height(5 ft) off a building 80 ft high?

    i did so far
    v=sqrt(v0)2+2(32)(85)











    b) what is the maximum height the egg can be dropped from?
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  2. #2
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    Re: Radical functions

    no help guys?
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  3. #3
    MHF Contributor MarkFL's Avatar
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    Re: Radical functions

    You are on the right track...now if the egg is "dropped" what is v_0?
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  4. #4
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    Re: Radical functions

    Hello, EASYPEAAZY!

    A student designs a special container as a part of an egg-drop experiment.
    She believes the container can withstand a fall as long as the speed of the container does not exceed 80 ft/s.
    She uses this equation: v\:=\:\sqrt{v_o^2 +2ad} to model the velocity v in ft/sec,
    as a function of constant acceleration, a = 32 \text{ft/sec}^2 and the drop distance d in feet.

    a) Will the egg break if the student drops the egg from shoulder height (5 ft) off a building 80 ft high?

    I did so far: v\:=\:\sqrt{v_o^2+2(32)(85)}

    Note that the egg is dropped.
    That is: . v_o \,=\,0



    b) What is the maximum height the egg can be dropped from?

    We have: . \sqrt{0^2+64d} \:\le\:80

    Square: n . . . . . 64d \:\le\:6400

    Therefore: . . . . . . d \:\le\:100
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  5. #5
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    Re: Radical functions

    ah i see velocity is 0, i just remembered that thnx
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  6. #6
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    Re: Radical functions

    a) so i solved it and got v=sqrt(64)(85).....-> v=sqrt(5440)----->v=73.76 ft/s...so it will not break (thnx mark and soroban)

    ^ tell me if its right

    b) i did 80=sqrt(0^2+64d)---> 80^2=sqrt(64d)^2--> 6400=64d--->d=100... 100 is the maximum height that it will not break(its a lil different than what you did soroban)



    tell me if those are right please(thnx to the 2 posters above me for giving me help)
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  7. #7
    MHF Contributor MarkFL's Avatar
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    Re: Radical functions

    Yes, you are right, although I would avoid using a decimal approximation for part a), I would give the speed as:

    v_f=8\sqrt{85}\text{ }\frac{\text{ft}}{\text{s}}

    But, this is just a matter of personal preference.
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  8. #8
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    Re: Radical functions

    oh alright didnt realize that 1
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