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anonymous

  • 4 years ago

If h(t) represents the height of an object above ground level at time t and h(t) is given by: h(t)=-16t^2+14t+1 find the height of the object when at the time when the speed is zero. h(t)= (this problem is related to the previous problem that i posted: http://openstudy.com/study#/updates/4f20823ce4b076dbc348cc35)

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  1. anonymous
    • 4 years ago
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    wouldnt you just plug in 14 for t to get -32(14)+14=-434 or am i way off

  2. campbell_st
    • 4 years ago
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    this is differential calculus.... differentiate the function.... let the derivative = 0. This is when speed is zero.... The solution will give you the time (t) when the speed is 0. Once you have a value for t substitute it into the original equation to get the height when speed = 0. looks like t will be 7/16... which then needs to be substituted...

  3. campbell_st
    • 4 years ago
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    actually there are 2 solutions to this the one above and when t = 0 the speed is 0 as well....

  4. anonymous
    • 4 years ago
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    where do i substitute 7/16?

  5. anonymous
    • 4 years ago
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    the function i was given in the beginning?

  6. anonymous
    • 4 years ago
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    ????

  7. campbell_st
    • 4 years ago
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    yes

  8. anonymous
    • 4 years ago
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    ok

  9. anonymous
    • 4 years ago
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    i got a mixed number

  10. campbell_st
    • 4 years ago
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    that would be correct since ou substituted a fraction

  11. anonymous
    • 4 years ago
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    i dont think my website accepts mixed numbers so i converted but i got the wrong answer when i did that

  12. anonymous
    • 4 years ago
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    11 15/16

  13. anonymous
    • 4 years ago
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    so i tried 191/16 which is wrong and i tried 11.9 which is also wrong

  14. campbell_st
    • 4 years ago
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    the fraction is (7)/(16 or seven sixteenths

  15. anonymous
    • 4 years ago
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    yes, i know. what's the final answer?

  16. campbell_st
    • 4 years ago
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    there are 2 answers....1 and a value between 4 and 4.1

  17. anonymous
    • 4 years ago
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    ok the correct answer is 4 (according to my hw site) how did you get 4?

  18. campbell_st
    • 4 years ago
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    by correctly substituting.... and knowing some calculus... sorry but this has become painful good luck with your solution

  19. anonymous
    • 4 years ago
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    you couldve just showed ur work in the beginning so i wouldnt have asked so many questions but whatever -_-

  20. campbell_st
    • 4 years ago
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    this is a basic calculus concept.... please try and learn it, good luck

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