![]() |
Math Quiz: Parabola Path
The center of a circle of radius=1 traverses the parabolic trajectory.. y = -0.0433*x2.. from x=-5 to x=+5 in the XY plane, and as it does so it "sweeps out" a path with upper and lower boundaries. Find the equations for the upper and lower boundary curves. |
Re: Math Quiz: Parabola Path
1 Attachment(s)
Hint: the answer is not Code:
y = -0.0433*x2 + 1 |
Re: Math Quiz: Parabola Path
I get:
Top curve: y = -0351x^2 + 1 Bottom curve: y = -.0433x^2 - 1 ![]() |
Re: Math Quiz: Parabola Path
1 Attachment(s)
Quote:
Quote:
Nice try, but no cigar. |
Re: Math Quiz: Parabola Path
Quote:
The bottom I got was 0.0474x^2 -1 I calculated two normal lines and found points that were 1 unit away from points on your given original. Then calculated the quadratics from the two sets of three points (although the y intercepts being known, one really only needs two points). |
Re: Math Quiz: Parabola Path
1 Attachment(s)
Quote:
The bottom equation y = -0.0474x^2 - 1 (with the "-" sign added) is a very good approximation in the given range, but as you can see in the attached graph, it diverges outside that range. Quote:
Quote:
|
Re: Math Quiz: Parabola Path
1 Attachment(s)
Quote:
|
Re: Math Quiz: Parabola Path
Any math/physics teachers want to give this a try? |
Re: Math Quiz: Parabola Path
Can I give the answers in parametric form?
Spoiler for parametric plot equations:
|
Re: Math Quiz: Parabola Path
Quote:
Reps to you ! |
Re: Math Quiz: Parabola Path
Is it possible to represent Ryan's parametric equations in explicit form y=f(x) ? Or even implicit f(x,y)=0 ? |
Re: Math Quiz: Parabola Path
Quote:
|
Re: Math Quiz: Parabola Path
Quote:
|
Re: Math Quiz: Parabola Path
Quote:
Are there any Mathematica gurus out there in CD land? |
Re: Math Quiz: Parabola Path
As a function of x, it will describe the upper boundary on one side and the lower on the other. It does exist, but it is very ugly. I will try to remember to post it later.
|
| All times are GMT -5. The time now is 12:03. |
Powered by vBulletin® Version 3.6.4
Copyright ©2000 - 2017, Jelsoft Enterprises Ltd.
Copyright © Chief Delphi