Rocket Lab @ Angles: Predicting Distance of Launch

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AI Thread Summary
The discussion focuses on predicting the landing distance of a rocket based on its launch angle and average velocity. The user initially calculated a distance of 55.3 meters using standard projectile motion equations but found this inconsistent with actual trial results, which ranged from 20 to 40 meters. There is a suggestion to use a different range equation that factors in angle but acknowledges it does not account for the launch height. Concerns are raised about the accuracy of the average velocity, with comparisons to previous lab results indicating it might be reliable. The impact of rocket burn time and acceleration over distance is also noted as a factor that could affect the predictions.
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Homework Statement



I need to predict how far a rocket will land given:

Delta Y = 2.032 (80 in ) - Height it will be shot from.
Angle - 35 (degrees)
My Average velocity is 23.3 m/s.

I need to repeat this for angles 40-60 [Increments of 5]


Homework Equations



I have these equations that i am using.

Vy = V(average) x sin (theta)
Vx = V(average) x cos (theta)
X = V(average) x cos (theta) * Time
T = (2*V(average))/ g


The Attempt at a Solution



For the first scenario i did the calculations and i am getting 55.3 m, but i know that is not right because we shot the rockets today, and mine did not even go past 40m. I did 3 trials, and each time it was between 20-40 m.
 
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Hellsing834 said:

Homework Statement



I need to predict how far a rocket will land given:

Delta Y = 2.032 (80 in ) - Height it will be shot from.
Angle - 35 (degrees)
My Average velocity is 23.3 m/s.

I need to repeat this for angles 40-60 [Increments of 5]


Homework Equations



I have these equations that i am using.

Vy = V(average) x sin (theta)
Vx = V(average) x cos (theta)
X = V(average) x cos (theta) * Time
T = (2*V(average))/ g


The Attempt at a Solution



For the first scenario i did the calculations and i am getting 55.3 m, but i know that is not right because we shot the rockets today, and mine did not even go past 40m. I did 3 trials, and each time it was between 20-40 m.

Maybe the 23m/s is not accurate?
 
I believe that it is accurate because i compared these results with the same lab we did last year, and the answer is close.
 
Hellsing834 said:
I believe that it is accurate because i compared these results with the same lab we did last year, and the answer is close.

Perhaps you would do better to use a range equation that was more of the form:

Range = \frac{V_o^2*Sin2\theta}{g}

This of course does not take into account the height you launch it from.
 
See, even with that equation, my answers comes in the 50's like my original.
 
Hellsing834 said:
See, even with that equation, my answers comes in the 50's like my original.

Unfortunately it doesn't take into account how long the rocket burns. Since it is a rocket it will accelerate over a distance that may be greater than 2m.
 
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