Projectile Motion: Homework Help for Max Height & Time in Air

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Homework Help Overview

The discussion revolves around a projectile motion problem involving a model rocket that accelerates while its fuel burns for a specified duration. Participants are tasked with determining the maximum height the rocket reaches and the total time it remains in the air before landing.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relevant equations for projectile motion and the need to split the problem into phases: the powered ascent and the subsequent free fall. Questions arise regarding the interpretation of the fuel duration and its implications for the rocket's motion.

Discussion Status

Some participants have provided guidance on using specific equations and suggested breaking the problem into two distinct phases. There is an ongoing exploration of the implications of the fuel duration and the initial conditions of the rocket's launch.

Contextual Notes

Participants note potential ambiguities in the problem statement, particularly regarding the interpretation of the fuel duration and its effect on the rocket's trajectory. The original poster expresses uncertainty about the problem's requirements and timeline.

HTT
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Homework Statement


A model rocket has an acc of 5m/s/s while its fuel is buring. Its fuel lasts for 10 sec. ignore the air resistance.

Homework Equations


a) max height above the ground of this rocket?
b) the time this rocket in the air before it hits the ground?

The Attempt at a Solution


I have no idea about this question, and I'm going to cry because it's due on tomorrow... Please help me~[/B]
 
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You need to show an attempt. What equation will work for this question?
 
Here are the equations I try to use:
Vx =Vo+a*t
displacement x = t/2(Vo+V) = Vo*t+(1/2)*a*t^2
(Vx)^2 = (Vo)^2 + 2a*displacement
 
Those formulas are all you need. Split the motion into two parts - the time where the fuel is burning and the free fall afterwards.
What are velocity and displacement after 10 seconds? What happens afterwards?

You can assume that the rocket starts on the ground, at rest, and accelerates perfectly vertical. A good problem statement would have made this clear, but whatever.
 
mfb said:
Those formulas are all you need. Split the motion into two parts - the time where the fuel is burning and the free fall afterwards.
What are velocity and displacement after 10 seconds? What happens afterwards?

You can assume that the rocket starts on the ground, at rest, and accelerates perfectly vertical. A good problem statement would have made this clear, but whatever.
I'm not really understand this sentence from question, "Its fuel lasts for 10 sec" does it mean the time from the rocket start flying to hitting the ground. Or, other meanings...
 
HTT said:
I'm not really understand this sentence from question, "Its fuel lasts for 10 sec" does it mean the time from the rocket start flying to hitting the ground. Or, other meanings...

Assume at t = 0, the rocket is on the ground, and the fuel is ignited. The rocket takes off and flies straight up. At t = 10 s, the fuel is exhausted and the rocket is no longer accelerating due to the burning of the fuel. What happens next?
 
SteamKing said:
Assume at t = 0, the rocket is on the ground, and the fuel is ignited. The rocket takes off and flies straight up. At t = 10 s, the fuel is exhausted and the rocket is no longer accelerating due to the burning of the fuel. What happens next?
Thank you so much, I think I got it~.
 

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