Maximizing Velocity and Range of a Rocket with Changing Mass

In summary, the conversation is about a calculus problem involving a rocket and changing mass. The problem has two parts - finding the maximum velocity when the fuel runs out and determining the range where the rocket will crash. The person is wondering if they can solve the problem without using an integral, but it seems that they will need to use it according to another person in the conversation. They also mention that they need help with the math part of the problem and suggest finding someone who has taken calculus 2. The final answer is that an integral is necessary to solve the problem.
  • #1
Ashleyz
16
0
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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  • #2
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.
 
  • #3
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.
 
  • #4
I think the short answer is, no. You will need to do an integral. Find a friend who has taken calc 2.
 
  • #5
That answers my question. Thank you.
 

1. How does the changing mass of a rocket affect its performance?

The changing mass of a rocket can greatly impact its performance. As the rocket consumes fuel and other materials, its mass decreases, causing it to accelerate faster. However, as the mass decreases, the rocket also becomes more difficult to control and maneuver. Therefore, finding a balance between mass and performance is crucial for a successful rocket launch.

2. What are the factors that contribute to the changing mass of a rocket?

The main factor that contributes to the changing mass of a rocket is the consumption of fuel. As the rocket burns fuel, its mass decreases. Other factors such as the release of gases, the jettisoning of stages, and the deployment of payloads can also impact the rocket's mass.

3. How does the changing mass of a rocket impact its trajectory?

The changing mass of a rocket can greatly impact its trajectory. As the mass decreases, the rocket's acceleration increases, causing it to follow a different trajectory than initially planned. This is why engineers carefully consider the changing mass of a rocket during the design and planning stages of a launch.

4. Can a rocket's mass be controlled during flight?

Yes, it is possible to control a rocket's mass during flight. This is typically done through the controlled release of fuel and other materials. Engineers and astronauts closely monitor the rocket's mass and make adjustments as needed to ensure a safe and successful launch.

5. How does a rocket's changing mass affect its fuel efficiency?

The changing mass of a rocket can have a direct impact on its fuel efficiency. As the mass decreases, the rocket's acceleration increases, causing it to consume more fuel. Therefore, engineers must carefully calculate and plan for the changing mass of a rocket to ensure optimal fuel efficiency and a successful launch.

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