Maximizing Velocity and Range of a Rocket with Changing Mass

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To solve the rocket problem involving changing mass, an integral is necessary to accurately determine both the maximum velocity when fuel runs out and the range at which the rocket crashes. While derivatives can be used for Newton's second law, they are insufficient for this problem's requirements. Clear conditions must be stated to approach the solution effectively. It is recommended to seek assistance from someone knowledgeable in calculus beyond the introductory level. Therefore, using an integral is essential for solving this type of physics problem.
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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