anonymous
  • anonymous
If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t2 + 36t + 4. quantity of 9 plus or minus square root of 65 all over 8 9 plus or minus square root of 65 end root over 8 quantity of 9 plus or minus square root of 97 all over 8 9 plus or minus square root of 97 end root over 8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
You need to find time \(t\) when the ball is at height \(h(t) = 0\), i.e. solve the quadratic equation\[-16t^2+36t+4 = 0\]Can you do that?
anonymous
  • anonymous
Notice that there is a common factor of 4. First thing I would do is factor out the 4. Then apply the quadratic formula to get your answer.
anonymous
  • anonymous
is it a?

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anonymous
  • anonymous
How did you get a?
anonymous
  • anonymous
sim-36+-square root of (36)^2 -4(16)(4)/2(16)
anonymous
  • anonymous
simplify 36/32
anonymous
  • anonymous
OK but then it will need to be simplified by factoring out common factors. It is easier to do this beforehand. simplify\[-16x^2+36x+4=0\]by factoring out a common factor of 4
anonymous
  • anonymous
Hello?
anonymous
  • anonymous
ok so the answer is 9 square root 65 all over 8
anonymous
  • anonymous
Not quite. I assume you've factored out the 4 to get\[-4x^2 + 9x + 1 = 0\]Now apply the quadratic formula with a=-4, b=9, and c=1.
anonymous
  • anonymous
\[x=\frac{ -9 \pm \sqrt{9^2-4(-4)(1)} }{ 2(-4) } = ?\]
anonymous
  • anonymous
is it the whole thing over 8?
anonymous
  • anonymous
-9+-square root of 97/
anonymous
  • anonymous
-8
anonymous
  • anonymous
@ospreytriple
anonymous
  • anonymous
Very good. Now you a negative divide by a negative. So it can be simplified a tiny bit more to get your final answer.

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