Rocket's Max Altitude & Flight Time: Exploring an Error

In summary, the conversation discusses a 200kg rocket loaded with 100kg of fuel and fired straight up, accelerating at 30m/s^2 for 30 seconds before running out of fuel. The maximum altitude and time in the air are discussed, and a position vs. time graph is requested. The image provided for the calculation is corrected, resulting in a final answer of 228 seconds for the time in the air.
  • #1
Coffeepower
11
0

Homework Statement


A 200kg rocket is loaded with 100kg of fuel and fired straight up. It accelerates at 30m/s^2 for 30sec and then runs out of fuel. Ignore any air resistance effects.

a. What is the maximum altitude of the rocket?
b. How long is the rocket in te air?
c. Draw a position vs. time graph of the rocket from launch to impact.

The Attempt at a Solution



http://www.angelfire.com/planet/garciarussellchem/coolpix/

The text says that the answer to (b) is 228sec. I say it is 181.69sec. what happened here?

p.s. Ignore the circled answer for (b) in the figure because it is wrong.
 
Last edited:
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  • #2
Show how you arrived at your answer. (The image is blank.)
 
  • #3
http://www.angelfire.com/planet/garciarussellchem/coolpix/

Just updated the image. Try it now.
 
  • #4
In part of your calculation you use this formula, which is incorrect:
[tex]v_f = v_i + 2a\Delta t[/tex]
 
  • #5
Thank you. That really helped out.

I got 227.6 = (rounded) 228sec.
 

Related to Rocket's Max Altitude & Flight Time: Exploring an Error

1. What is the significance of exploring the error in a rocket's maximum altitude and flight time?

Exploring the error in a rocket's maximum altitude and flight time is important because it allows scientists to identify and correct any issues that may arise during a rocket launch. By understanding the sources of error and potential problems, scientists can improve the accuracy and reliability of rocket technology.

2. How is the maximum altitude of a rocket determined?

The maximum altitude of a rocket is determined by factors such as the thrust of the rocket's engine, the weight of the rocket, and the air resistance it encounters during flight. Scientists use mathematical models and simulations to predict the maximum altitude of a rocket before the actual launch.

3. What are some common sources of error in determining a rocket's maximum altitude and flight time?

Some common sources of error in determining a rocket's maximum altitude and flight time include variations in atmospheric conditions, changes in wind speed and direction, and mechanical failures in the rocket's components. Human error and measurement inaccuracies can also contribute to errors in the data.

4. How do scientists account for error in their calculations of a rocket's maximum altitude and flight time?

Scientists account for error in their calculations by using statistical methods to analyze the data and identify any outliers or discrepancies. They also conduct multiple tests and simulations to validate their results and reduce the impact of error. Additionally, scientists continuously work to improve and refine their models and measurement techniques to minimize error in future experiments.

5. What are the potential consequences of not accounting for error in a rocket's maximum altitude and flight time?

If error is not properly accounted for in calculations of a rocket's maximum altitude and flight time, it could result in a failed launch or a deviation from the intended flight path. This could lead to damage to the rocket, payload, or surrounding areas, as well as potential safety hazards for those involved in the launch. It is crucial for scientists to thoroughly explore and understand potential sources of error in order to ensure the success and safety of rocket launches.

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