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anonymous

  • one year ago

The function h= is used to model fireworks being launched (or projected) into the air. The function models the height h after x seconds. a) How long will it take the fireworks to reach their greatest height? b) How high will the fireworks be their greatest height?

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  1. anonymous
    • one year ago
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    \[h=-16x ^{2}+160x+4\]

  2. xapproachesinfinity
    • one year ago
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    to find the max height you need to take derivative

  3. TrojanPoem
    • one year ago
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    Find maxima using derivative as xapproaches said then you will get the time put it in the main function and you will get the height.

  4. xapproachesinfinity
    • one year ago
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    \(\frac{dh}{dx}=-32x+160\) set this equal 0 to find the time it takes to reach maximum

  5. anonymous
    • one year ago
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    hello mam, i would like to know whether u are used to taking derivatives..?

  6. xapproachesinfinity
    • one year ago
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    you can actually discard calculus and do it with basic tools

  7. xapproachesinfinity
    • one year ago
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    that's just a parabola! and you learned that the prabolas has max at \(\left (\frac{-b}{2a}, h(\frac{-b}{2a})\right )\)

  8. xapproachesinfinity
    • one year ago
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    when a<0 that is

  9. xapproachesinfinity
    • one year ago
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    a being the leading coefficient!

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