anonymous
  • anonymous
Please help! A kicker kicks a football toward the opponent's goal line during a game. The ball begins its flight with an initial velocity of 100 feet per second when it is kicked at a height of 3 feet by the kicker. To the nearest foot, what maximum height will the ball reach? You may use the function: h(t)=-16t^2+100t+3 100 feet 129 feet 159 feet The answer cannot be determined
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Do you know how to use the quadratic formula?
anonymous
  • anonymous
I think that's what you use
Mehek14
  • Mehek14
\(\large{(\dfrac{-b}{2a},f(\dfrac{-b}{2a}))}\)

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anonymous
  • anonymous
i don't get it, what would i do after finding -b/2a?
Mehek14
  • Mehek14
first find a and b
anonymous
  • anonymous
a= -16 b=100 right?
Mehek14
  • Mehek14
\(f(x)=ax^2+bx+c\)
Mehek14
  • Mehek14
yes so plug it in
anonymous
  • anonymous
25/8
Mehek14
  • Mehek14
\(\dfrac{-100}{2*(-16)}\)
Mehek14
  • Mehek14
2* - 16 = 32 -100/ 32 = -3.125
Mehek14
  • Mehek14
now plug that in
anonymous
  • anonymous
wait why is it negative? -/- is positive??
Mehek14
  • Mehek14
oh sorry didn't see that :P
Mehek14
  • Mehek14
-100/-32
Mehek14
  • Mehek14
so 3.125
anonymous
  • anonymous
oh okay so 3.125 do i plug it into the given function
Mehek14
  • Mehek14
yes put it instead of t
anonymous
  • anonymous
okay i got 159!
Mehek14
  • Mehek14
so 159 is your answer :D
anonymous
  • anonymous
thank you!! :)
Mehek14
  • Mehek14
yw :)

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