Need help with rocket math problem

  • Thread starter mekias4
  • Start date
  • #1
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Homework Statement


A rocket is fired upward from earth with initial velocity v measured in m/s. Then maximum height in m is reached by the rocket is given by the function h(v)=Rv^2/2gR-v^2
Radius is 6.4(10^6)m and acceleration due to gravity g is 9.8m/s^2 (R and g are constants and v is the independent variable. Graph the function denoting all intercepts, asymptotes, and other points of interest.


Homework Equations





The Attempt at a Solution

I used the escape velocity concept. I then plugged in the numbers given into the function. h(v)=6.4(10^6)(11100)^2/2(9.8)^2(6.4)(10^6)-(11100)^2
Im not sure if this is correct and how to graph with the correct axes.

Homework Statement





Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
eumyang
Homework Helper
1,347
10
Your equation is very hard to read. Either use some more grouping symbols or retype in LaTeX.

Your equation could be read like this:
[tex]h(v)=\frac{Rv^2}{2gR} - v^2[/tex]

or this:
[tex]h(v)=Rv^{2/2gR} - v^2[/tex]

or this:
[tex]h(v)=\frac{Rv^2}{2gR-v^2}[/tex]

and so on.


69
 
  • #3
4
0
the last equation shown is what I meant...sorry
 
  • #4
104
0
so where's the problems in graphing the equation?
u have the equation, h(v), take the x-axiz for v and y-axis, for h
But the graph will be a little difficult to sketch with ur hand, so u may take help of some graphing software

i couldnt get why u needed to use escape velocity concept or something. wat i see the problem, its just a single variable equation that is to be graphed.
plz clarify if i missd or misundstood something.
 
  • #5
4
0
I used the escape velocity because my teacher gave us a hint using that and told me to look that up. So am I right in plugging in the numbers into the function the way i did above? Yeah I am using grapher to graph the equation. I just want to make sure I plug the correct function into the graph.
 

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