SOLUTION: I was wondering if someone could help me with this one.
Thank you.
For fireworks that are launched into the air, the formula
h = -16t^2 + 200t + 4
models the fire
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Thank you.
For fireworks that are launched into the air, the formula
h = -16t^2 + 200t + 4
models the fire
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Question 16327: I was wondering if someone could help me with this one.
Thank you.
For fireworks that are launched into the air, the formula
h = -16t^2 + 200t + 4
models the fireworks' height h, in feet, t seconds after they are launched.
When should the fireworks explode so that they go off at the greatest height?
What is that height?
You can put this solution on YOUR website! The equation: describes a parabola. You need to find the location of the vertex of this parabola which will be a maximum since the parabola opens downwards (-16t^2). The horizontal coordinate (t-component) of the vertex is given by: . This corresponds to the time, t, at which the firework will reach its maximum height.
So, the maximum height will occur at: = secs = 6.25 seconds. This is when the firework should be detonated for it to explode at the greatest height.
To find this maximum height, substitute t = 6.25 into the original equation and solve for the height, h. It's easier to use the fractional form, 25/4
feet.
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