How Does a Rocket Behave After Engine Shutdown?

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SUMMARY

The discussion focuses on the behavior of a rocket after engine shutdown, specifically analyzing its flight dynamics. The rocket is launched with an initial velocity of 80 m/s and an acceleration of 4 m/s² until it reaches an altitude of 1000 m, where it transitions into free fall with an acceleration of -9.8 m/s². The time in the air is calculated to be 10 seconds, with a final velocity of 120 m/s at the peak altitude. The discussion emphasizes the need to calculate the distance traveled during free fall after engine failure.

PREREQUISITES
  • Understanding of kinematic equations for uniformly accelerated motion
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Familiarity with concepts of free fall and projectile motion
  • Basic proficiency in solving quadratic equations
NEXT STEPS
  • Calculate the total time of flight for the rocket using kinematic equations
  • Determine the maximum altitude reached by the rocket after engine shutdown
  • Analyze the velocity of the rocket just before impact with the ground
  • Explore the concept of projectile motion in the context of vertical launches
USEFUL FOR

Aerospace engineers, physics students, and anyone interested in the dynamics of rocket flight and free fall behavior.

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A rocket is fired vertically upwards with an initial velocity of 80 m/s with an acceleration of 4 m/ss until it reaches an altitude of 1000m. At that point it goes into free fall (a= -9.8)

What time interval is the rocket in the air?
What is its maximum altitude?
What is its velocity right before it hits the ground?


Does this mean that the rocket continues to go upwards after the engine fails?

I got the time until that point to be 10 seconds and the final velocity a that point (1000m) to be 120 m/s. Afterward, all I can come up with is a initial velocity of 120 m/s and gravitational acceleration. I can't find t without another variable.

Thanks in advance
 
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You need to calculate the distance the rocket travels after the engine fails before it comes to a complete stop.
 

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