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

In summary, the observed acceleration of 4m/s^2 for a rocket projected vertically upwards is caused by the acceleration of gravity, which is 10m/s^2. This means that the internal engine must be providing an acceleration of 14m/s^2 for the rocket to reach a total acceleration of 4m/s^2. However, the book claims that the actual acceleration caused by the fuel is only 4m/s^2.
  • #1
pivoxa15
2,255
1

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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  • #2
Yesstupid text limit
 
  • #3
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
 

1. What is acceleration of a rocket?

Acceleration of a rocket is the rate at which its velocity changes over time. It is measured in meters per second squared (m/s²).

2. How is acceleration of a rocket calculated?

Acceleration of a rocket can be calculated by dividing the change in velocity by the change in time. This is represented by the formula a = (v2 - v1) / (t2 - t1), where a is the acceleration, v is the velocity, and t is the time.

3. Why is acceleration important for a rocket?

Acceleration is important for a rocket because it determines how quickly it can gain speed and reach its desired destination. A higher acceleration allows the rocket to cover more distance in a shorter amount of time.

4. How does acceleration affect the launch of a rocket?

The acceleration of a rocket during launch is crucial. The higher the acceleration, the faster the rocket can escape Earth's gravitational pull and enter into orbit. This requires a powerful thrust from the rocket's engines.

5. How do different factors affect the acceleration of a rocket?

Several factors can affect the acceleration of a rocket, including the design and power of its engines, the weight of the rocket, and external factors such as air resistance. These factors must be carefully considered and optimized for a successful launch and mission.

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