How High Does a Rocket Climb After Fuel Depletion?

  • Thread starter Thread starter kurosaki69
  • Start date Start date
  • Tags Tags
    Falling
Click For Summary

Homework Help Overview

The discussion revolves around a physics problem involving the motion of a rocket that accelerates upward before running out of fuel. The problem requires determining how high the rocket climbs after fuel depletion, incorporating concepts of kinematics and gravitational effects.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the two phases of the rocket's motion: the acceleration phase and the free body phase after fuel depletion. Questions arise about the interpretation of the rocket's velocity at the end of the acceleration phase and how to calculate the additional height gained against gravity.

Discussion Status

Participants are actively engaging with the problem, clarifying concepts and calculations. Some guidance has been provided regarding the need to consider the rocket's final velocity after the acceleration phase and how to calculate the additional height gained due to gravity. There is an acknowledgment of potential discrepancies between calculated results and textbook answers, with emphasis on understanding the process over exact numerical agreement.

Contextual Notes

Participants note that the problem involves assumptions about initial conditions and the effects of gravity on the rocket's motion after fuel depletion. There is also mention of rounding errors in calculations, which may affect the final answer.

kurosaki69
Messages
22
Reaction score
0

Homework Statement



a rocket moves upward, starting from rest with an acceleration of +29.2 m/s^2 for 4 s. it runs out of fuel at the end of the 4 s and continues to move upward. how high does it rise?

Homework Equations





The Attempt at a Solution

i tried using the equation s=1/2at^2+v1t+s1. when i plug in the numbers i got 233.6 as a solution. when i check in the back off the book the answer was 941. Can someone please help point me in the right direction by telling me what i did wrong.
 
Physics news on Phys.org
kurosaki69 said:

Homework Statement



a rocket moves upward, starting from rest with an acceleration of +29.2 m/s^2 for 4 s. it runs out of fuel at the end of the 4 s and continues to move upward. how high does it rise?

Homework Equations

The Attempt at a Solution

i tried using the equation s=1/2at^2+v1t+s1. when i plug in the numbers i got 233.6 as a solution. when i check in the back off the book the answer was 941. Can someone please help point me in the right direction by telling me what i did wrong.

There are two phases to your problem. One the blastoff- acceleration phase. That lasts 4 seconds. Then there is the free body phase. It starts with the final velocity of the previous phase. How much higher does it go against gravity alone?

You calculated the height of acceleration phase.

Now calculate from how fast it was going how much higher it went.
 
i'm sorry what do you mean when you said "How much higher does it go against gravity alone?"
 
kurosaki69 said:
i'm sorry what do you mean when you said "How much higher does it go against gravity alone?"

When the rocket burns out, it has a pretty good velocity. And it's at 233.6 feet. and still climbing. That velocity is then decelerated by gravity.

At that velocity going up, then and gravity slowing it. how much further than 233.6 feet does it go?

When you get that number, add it to the 233.6 feet.
 
so then my final velocity that i had calculated from the acceleration phase would replace my original initial velocity which as 0.
 
kurosaki69 said:
so then my final velocity that i had calculated from the acceleration phase would replace my original initial velocity which as 0.

Yes. Exactly.
 
does it matter if my final calculation is not the exact answer as the book's. when i had finished solving i got 938.5 instead of 941.
 
kurosaki69 said:
does it matter if my final calculation is not the exact answer as the book's. when i had finished solving i got 938.5 instead of 941.

That looks like rounding error.

Does it matter?

Only your teacher knows for sure.

But if you understand it, that's worth more than a grade.
 
well thank you for helping me.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
1K
Replies
1
Views
2K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
13
Views
2K
Replies
3
Views
3K
  • · Replies 34 ·
2
Replies
34
Views
4K