anonymous
  • anonymous
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?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[h=-16x ^{2}+160x+4\]
xapproachesinfinity
  • xapproachesinfinity
to find the max height you need to take derivative
TrojanPoem
  • TrojanPoem
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.

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xapproachesinfinity
  • xapproachesinfinity
\(\frac{dh}{dx}=-32x+160\) set this equal 0 to find the time it takes to reach maximum
anonymous
  • anonymous
hello mam, i would like to know whether u are used to taking derivatives..?
xapproachesinfinity
  • xapproachesinfinity
you can actually discard calculus and do it with basic tools
xapproachesinfinity
  • xapproachesinfinity
that's just a parabola! and you learned that the prabolas has max at \(\left (\frac{-b}{2a}, h(\frac{-b}{2a})\right )\)
xapproachesinfinity
  • xapproachesinfinity
when a<0 that is
xapproachesinfinity
  • xapproachesinfinity
a being the leading coefficient!

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