anonymous
  • anonymous
3) How long does it take the apple to reach your friend? (**HINT: The time would be the x-coordinate of the highest point.) Double click on the space below to show your work. h(t) = – 16t2 + 38.4t + 0.96 H= Height. T= Time (seconds). I WILL FAN AND MEDAL FOR ANSWERS AND WORK.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Set the equation = 0. Then use quadratic formula.
anonymous
  • anonymous
It is supposed to be h(t) = -16t^2 + 38.4t + 0.96
anonymous
  • anonymous
Ok! Set the equation = 0.

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anonymous
  • anonymous
\(\huge -16t^2+38.4t+0.96=0\)
anonymous
  • anonymous
Do you know the quadratic formula?
anonymous
  • anonymous
Then it would be \[-38\pm \sqrt{38.4^{2}-4(-16)(0.96)} / 2(-16)\]
anonymous
  • anonymous
Right?
anonymous
  • anonymous
@mathway
anonymous
  • anonymous
The beginning is supposed to be -38.4 not just -38.
anonymous
  • anonymous
Yes! Now solve for t. :) And since it is time, your answer shouldn't be the negative one.
anonymous
  • anonymous
Let me know if you got an answer, so I may check if it's right. :)
anonymous
  • anonymous
So then I get: \[-38.4\pm \sqrt{1,536} / -32\] I'm confused on what to do after this step.
anonymous
  • anonymous
\(\huge \frac{-38.4±\sqrt {1536}}{-32}\) Frind the square root of 1536 first.
anonymous
  • anonymous
\[16\sqrt{6}\]
anonymous
  • anonymous
\(\huge \frac{-38.4±16\sqrt {6}}{-32}\rightarrow\) \(\huge \frac{-38.4+16\sqrt {6}}{-32} \) & \(\huge \frac{-38.4-16\sqrt {6}}{-32} \)
anonymous
  • anonymous
Should it be in radical form or could it be in decimal form?
anonymous
  • anonymous
So how do we get the answer from there? It should be in decimal form since we are trying to find how many seconds it takes the apple to reach your friend.
anonymous
  • anonymous
Great! Now get a calculator and solve for it. Notice that \(\sqrt{6} =2.45\).
anonymous
  • anonymous
\(\huge \frac{-38.4+16(2.45)}{-32}\) &\(\huge \frac{-38.4-16(2.45)}{-32}\)
anonymous
  • anonymous
Still confusing?
anonymous
  • anonymous
I got -0.02
anonymous
  • anonymous
Or should it be positive 0.02? @mathway
anonymous
  • anonymous
You're supposed to get \(\huge \color{red}{ \text{TWO}}\) solutions. and \(-0.02\) is one. And since it is negative, it can't be the time. So solve for the other one.
anonymous
  • anonymous
2.4 seconds rounded.
anonymous
  • anonymous
Correct! :)
anonymous
  • anonymous
Thank you so much!!!
anonymous
  • anonymous
No problem! :)

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