# Analysis Of Bottle Rocket

It can be seen from the experimental data, that the relationship between the difference in initial pressure inside the bottle rocket and the atmosphere, and the vertical height reached by the bottle rocket after 0.1 seconds, is proportional. This is quantitatively demonstrated by the high R2 value of 0.99533 of the graphed relationship, which indicates the likeness of points in a data set to an established trend; where 1 = a perfect relationship. The gradient of 0.0236 in the best fit regression line of the data, indicates that for every increase of 1 PSI in pressure inside the rocket, 0.0236 more vertical meters were travelled by the rocket in the first 0.1 seconds of its motion. This is only approximately 30% of the distance

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The non-tested variable of bottle rocket design and launching process, was controlled by using the same rocket and launching equipment for each test. The method of data analysis employed was also the same for each experiment, as was the time after lift-off in which the height recording was taken after (within the limits of data analysis capabilities). The variable of rocket mass was controlled as best as experimentally possible (by using the same rocket for each test). However the larger the pressure inside the bottle the greater the mass of the bottle rocket would have been; although this difference in mass is believed to not be large, and was assumed negligible in the derivation of the hypothesis. Moreover, testing was conducted over two days, meaning that although external conditions were similar, this variable was not fully

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These include, event to event weather conditions impacting the motion of the bottle rocket in the the x and z planes. This therefore potentially resulting in an effect on the motion of the bottle and the height data recorded at an unknown level; as opposed to that in theoretical conditions. Moreover, incorrect initial scaling of length measurement on the data analysis soft-wear, could have resulted in incorrect heights being deemed to have been reached by the bottle rocket. The nature of the freeze frame data analyzation on Pasco also resulted in time recordings that had slight discrepancies of maximum 0.033 seconds with one another, thus meaning that the variable of time was strictly not controlled within the experiment. Small test to test discrepancies in pressure gage reading is another area in which random error may have occurred. As the scaling of the bicycle pump increased in values of 2 PSI, the assumed margin for error is 1