anonymous
  • anonymous
What is the maximum height, And when does it occur? h(t)=-16t^(2)+80t+3. Please help.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
the maximum height of this parabola is basically the vertex. so if you find the vertex, then there's your maximum height.
anonymous
  • anonymous
Have you learned about derivatives yet?
anonymous
  • anonymous
yes,

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More answers

anonymous
  • anonymous
Find the derivative of your function, and set it equal to zero, and solve for t. That will tell you when it occurred.
anonymous
  • anonymous
So 0 = Derivative of function.
anonymous
  • anonymous
okay thx guys :)
anonymous
  • anonymous
If you stay on here, I can verify your work as you work through it.
anonymous
  • anonymous
is it f(0)=83 or (0,80)
anonymous
  • anonymous
Still solving that, but that doesn't seem correct.
anonymous
  • anonymous
ill keep trying.
anonymous
  • anonymous
Are you sure it's +80t and not -80t? From what I know, negative time doesn't exist.
anonymous
  • anonymous
Sorry, the other way around.
anonymous
  • anonymous
the problem says h(t)=-16t^(2)+80t+3
anonymous
  • anonymous
Aaaah! I see. When you posted your problem, the negative sign was cut off so all I saw was 16t^2
anonymous
  • anonymous
Alright, I solved it.
anonymous
  • anonymous
Where do you need help?
anonymous
  • anonymous
If you're just completely lost I can walk you through it.
anonymous
  • anonymous
that would help ALOT.
anonymous
  • anonymous
Sounds good! Okay, so your function is f(t) = -16t^2 + 80t + 3 The derivative of that function is (df/dt) = -32t + 80 Does that make sense?
anonymous
  • anonymous
yess.
anonymous
  • anonymous
The function reaches its maximum height when the derivative, or the slope, is equal to zero. It's kind of like when you throw a ball in the air. The moment the ball reaches the top of its arc, that's when the slope is zero. So what you do is set the derivative to zero ... -32t + 80 = (df/dt) -32t + 80 = 0 Given that easy formula, solve for t and let me know what you get.
anonymous
  • anonymous
It's just algebra at this point.
anonymous
  • anonymous
does t= 5/2?
anonymous
  • anonymous
Yeah! Awesome! Now, you plug that into h(t) and the number you get is your height.
anonymous
  • anonymous
And then you're done! :D
anonymous
  • anonymous
THANKS SO MUCH!
anonymous
  • anonymous
No problem :)
anonymous
  • anonymous
I HAve Another One or You.
anonymous
  • anonymous
*for

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