What Causes a Rocket's Upward Acceleration of 4m/s² Despite Gravity?

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SUMMARY

The discussion centers on the upward acceleration of a rocket projected vertically, which is measured at 4m/s² despite the gravitational force of 10m/s² acting on it. To achieve this net acceleration, the rocket's engines must provide a thrust that results in an effective upward acceleration of 14m/s². This discrepancy arises from the need to overcome gravity while achieving the observed acceleration. The confusion stems from the interpretation of forces acting on the rocket, as the book states the answer is 4m/s², which is misleading without considering the total thrust required.

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  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of gravitational forces
  • Familiarity with kinematic equations
  • Concept of net force and acceleration
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  • Study Newton's Second Law of Motion in detail
  • Learn about thrust-to-weight ratio in rocketry
  • Explore the concept of net force and its calculation
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Students studying physics, aerospace engineers, and anyone interested in understanding the dynamics of rocket motion and acceleration in the presence of gravitational forces.

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Homework Statement


A rocket projected vertically upwards shows an observed/measured acceleration of 4m/s^2 in its motion.

What is the upwards acceleration of the rocket caused by the fuel?


Homework Equations


gravity = 10m/s^2


The Attempt at a Solution


There is an acceleration of gravity acting on the rocket all the time so for it to show an acceleration of 4m/s^2, the internal engine must be making it to accelerate vertically upwards at 14m/s^2. Am I correct?
 
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Yesstupid text limit[/color]
 
I thought so too as one can show using forces that in order to have a net force, the rocket must be providing 14m/s^2 acceleration. But the book claims the answer is 4m/s^2
 

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