Alexander Reyes
Lab Partners: Mike Flores and Mike
Performed on: 9/12/16
Introduction: For this specific lab we had to find the distance an elephant went before coming to rest.Elephant had a mass of 5000 kg, velocity of 25m/s. a 1500 kg rocket mounted on its back generating a constant 8000N thrust. An integral was set up to find the distance analytically and gave us the answer of 248.7 meters. Soon after, we took a numerical approach and created an excel spreadsheet to compare whether we would obtain the same distance for both methods.
Data: After imputing the information from the analytical approach into an excel spread sheet we obtained the information below. At the 20 second mark the elephant came to a distance of 248.6 meters before coming to rest.
Conclusions: After completing the numerical approach the answer obtained of 248.6 meters is almost identical to the analytical approach of 248.7 meters. I was able to know what time interval was small enough by simply obtaining the time found in the analytical approach which was 19.69 seconds. If i didnt have the analytical part to compare my numerical result, i would simply look at the velocity values in the excel spreadsheet to see when the elephant velocity is close to zero. When the elephant is coming to rest then it should have a velocity near zero and the distance and time could be determined. Another distance was also calculated for the elephant when tweaking our data for the following question: determine how far the elephant would go if its initial mass were 5500 kg, the rocket mass is still 1500kg, but now the fuel burn rate is 40 kg/s and the thrust force is 13000 N? the elephant traveled 164 meters within 13 seconds for those new values.
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