Maximizing Velocity and Range of a Rocket with Changing Mass

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Homework Help Overview

The discussion revolves around a rocket problem involving changing mass, specifically focusing on maximizing velocity and determining range when fuel runs out. The original poster is seeking to understand if an integral is necessary for solving the problem, given their current calculus knowledge.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster questions whether it is possible to solve the problem without using integrals, expressing comfort with derivatives. Other participants suggest that integrals are likely necessary and emphasize the importance of clearly stating conditions for the problem.

Discussion Status

The discussion is ongoing, with some participants providing guidance on the need for integrals while the original poster seeks clarification on the mathematical requirements. There is no explicit consensus, but a direction towards understanding the mathematical aspects is evident.

Contextual Notes

The original poster is currently taking Calculus 1 and has not yet learned integrals, which may influence their approach to the problem. The discussion reflects a mix of physics and mathematical considerations, highlighting the challenges faced by the original poster in applying their current knowledge.

Ashleyz
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Can I do a rocket problem with changing M without involving
an integral?
I am currently taking Calculus 1 and have not learned
that yet, although derivatives are no problem.

The Problem:

2 parts

1st part: find the max V when fuel runs out.

2nd part: find the R(range), where the rocket crashes when fuel runs out.
 
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as far as i know,we have to make a communication with integral.
and i think in order to solve the problem you'd better state the conditions clearly.
 
This is not a problem that I need help solving, only, I need
help determinging if I MUST use an integral,

physics problems are two parts right, physics part, then math. Well I need help on the math.

it seems as if I should be able to use derivatives only for Newtons 2nd law.
 
I think the short answer is, no. You will need to do an integral. Find a friend who has taken calc 2.
 
That answers my question. Thank you.
 

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