What kind of math do I include in THIS?

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SUMMARY

The discussion focuses on determining the appropriate type of differential equations necessary for modeling the motion of a rocket starting from rest on a ramp, where the propellant is consumed at a constant rate. The user seeks guidance on whether to include first-order ordinary differential equations (ODEs) due to the changing mass of the propellant over time. The problem involves conservation of momentum and transitions to a simpler projectile motion once the fuel is depleted. The user emphasizes the need for understanding rather than mere replication of solutions.

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  • Understanding of basic physics principles, particularly conservation of momentum
  • Familiarity with the concept of ordinary differential equations (ODEs)
  • Knowledge of projectile motion dynamics
  • Basic calculus skills for analyzing changing variables
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Ashleyz
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Here is the problem. The only help I need with this is
to determine the SPECIFIC type of defferential equations to use.
(if any at all)
i.e, 1st ODE's, ect.

A rocket starts from rest on a ramp.

Its propellant is consumed at a constant rate for a certain time.

The propellent burns out after a certain time.

Now the rocket is a projectile. It will land due to gravity at a certain D (distance) from ramp.
 
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This site is great, but I have never studied Diff. Eq. and need
to know what section I need to look at in order to solve the problem.

I need to understand, not copy and past.
 
Why not post your problem in more detail, and show us how far you've gotten and where you're stuck?
 
Read my first post.

This is a problem I am putting together(it is not homework) and need help only on
deciding if I need to include a differential equation.
If I do, then what kind? I have never taken a class on D.E's, so need help narrowing down what type.

The problem is conservation of momentum, and I am only working with variables at first.

The first part is the hard part, as the M(mass) of the P(propellent) is changing with time.
-this is the part that I believe I may need to include some ODE's.

I have made the 2nd part to this problem easy, bc the fuel runs out, and now we are dealing with an easy projectile.
 

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