SOLUTION: The quadratic function that models the fireworks’ height s(x) in feet x seconds after they are launched is given by the equation s(x) = -16x^2+200x + 4. When should the fireworks
Algebra.Com
Question 87764This question is from textbook Intermediate Algebra
: The quadratic function that models the fireworks’ height s(x) in feet x seconds after they are launched is given by the equation s(x) = -16x^2+200x + 4. When should the fireworks explode so that they go off at the greatest height? What is that height? [Hint: Find the vertex of the quadratic function s(x).]
This question is from textbook Intermediate Algebra
Found 2 solutions by stanbon, rapaljer:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The quadratic function that models the fireworks’ height s(x) in feet x seconds after they are launched is given by the equation s(x) = -16x^2+200x + 4. When should the fireworks explode so that they go off at the greatest height? What is that height? [Hint: Find the vertex of the quadratic function s(x).]
-----------
Vertex occurs at x=-b/2a = -200/-32 = 6.25 seconds
Height at that time = s(6.25) = -16^(6.25)^2+200(6.25)+4 = 668.07 ft
=============
Cheers,
Stan H.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
The vertex of the parabola occurs at .
Therefore, for your function , the vertex occurs at seconds.
The maximum height is at feet. By the way, I used a graphing calculator, with window: x= [-2,14], y = [-100, 700]. It looks like this:
R^2 Retired from SCC
RELATED QUESTIONS
i really need help with this but no one has responded...is there anyone who can help?... (answered by stanbon,ankor@dixie-net.com,Earlsdon)
s(t)= -16t^2+200t+4
the quadratic function models the fireworks height, s(t) in... (answered by solver91311)
I was wondering if someone could help me with this one.
Thank you.
For fireworks that... (answered by Earlsdon)
The height of fireworks during a Fourth of July show can be modeled by quadratic... (answered by lynnlo)
A Rock is launched from a cannon. Its height, h(x), can be represented by a quadratic... (answered by josgarithmetic)
A rock is launched from a cannon its height, h(x), can be represented by a quadratic... (answered by ankor@dixie-net.com)
A fireworks shell is shot straight up with an initial velocity of 80 feet per second. Its (answered by lwsshak3,Alan3354,stanbon)
Fireworks are launched over a lake off a dam 28ft above water. The height of the display, (answered by fcabanski)
a pyrotechnician plans for two fireworks to explode together at the same height in the... (answered by ValorousDawn)