Rocket Launch HELP: Calculating Max Velocity, Thrust, and More

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SUMMARY

This discussion focuses on calculating key parameters of a rocket launch, specifically maximum velocity, average thrust, energy stored in the engine, and time to maximum height. The maximum velocity can be determined using the equation v = u + at, resulting in 34.104 m/s with a time of 3.48 seconds and acceleration due to gravity at 9.8 m/s². Average thrust is calculated using F = m x a, requiring the rocket's mass and acceleration. Energy stored in the engine is found using E = 1/2 x m x v², and the time to reach maximum height can be derived from h = ut + 1/2 x a x t², assuming no air resistance.

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how to you find max velocity...average thrust..energy stored in engine...and time to max height... We did a real rocket launch, and i onli got the following information: 3.48s for rocket to reach max height..according to timer, distance from launch pad..99m, angle 33 degree.


I need hints and equations =)
THanks
 
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If you had recorded the descent time you would be able to determine the height. Unless you know the details of thrust (which you don't because you're asked to find it!) including burn time you won't be able to infer very much about the maximum height or maximum speed.
 


To find the maximum velocity of the rocket, you can use the equation v = u + at, where v is the final velocity, u is the initial velocity (which is 0 in this case), a is the acceleration, and t is the time taken. In this case, t would be 3.48 seconds and a would be the acceleration due to gravity, which is approximately 9.8 m/s^2. So, the maximum velocity would be v = 0 + (9.8)(3.48) = 34.104 m/s.

To calculate the average thrust, you can use the equation F = m x a, where F is the force (thrust), m is the mass of the rocket, and a is the acceleration. You would need to know the mass of the rocket and the acceleration it experiences during the launch. This information is usually provided by the rocket manufacturer. Once you have the force, you can divide it by the time taken (3.48 seconds) to get the average thrust.

To find the energy stored in the engine, you can use the equation E = 1/2 x m x v^2, where E is the energy, m is the mass of the rocket, and v is the velocity. In this case, you would use the maximum velocity you calculated earlier. Again, you would need to know the mass of the rocket, which can be obtained from the manufacturer.

Finally, to calculate the time taken to reach maximum height, you can use the equation h = ut + 1/2 x a x t^2, where h is the maximum height, u is the initial velocity (which is 0), a is the acceleration due to gravity, and t is the time taken. In this case, you would use the maximum height of 99m and solve for t. It is important to note that this equation assumes that there is no air resistance, so the actual time taken may be slightly different.

I hope these hints and equations help you in your calculations. Remember to always double check your units and make sure they are consistent. Good luck with your rocket launch!
 

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