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Rat rod vs Lambor

Tuesday, February 16, 2016

Math blogpost 2

In the second lesson of our preparation for the final jump, our group has decided that we should make different graphs for different heights, as the momentum of the object falling down will increase if it is thrown from a greater height. There are a number of graphs that I could have made to represent the amount of elastics needed for each jump. Our group chose to make a quadratic equation for each meter. The reason why we did this is because the shape of a quadratic graph reflects the shape of the jump. In other words, if the barbie jumps from a higher height, she will gain more momentum therefore will use the full potential of the elastics, making it use less elastics per units in the jump in general.

Another option that we thought about was a Gauss graph to show the maximum stretch of an elastic. But we thought that it was unrealistic because it is not guaranteed that the each elastic is going to be used to it's maximum stretch because from some heights, the barbie will not be able to carry out the momentum.

Here is our graph for under 2 meters
y=x^2-4

The explanation for this graph is in my first post

And for 4 meters it is:

y=6/7(x-9)^2
Our group came up with this graph by testing the amount of elastics needed for a jump in the height of 4.15 meters, 4.52 metes and also 4.92 meters. The results were that we needed 31 elastics for 4.15 meters, 32 for 4.52 metes and 33 for 4.92 meters. We tried to plug in these numbers in a matrix calculator to figure out the pattern but as we really don't know how to use one, a few minor errors occurred. So that there were some irrational numbers in the equation that we got. We converted the irrational numbers into numbers which we can understand and came up with this equation.

For 5 meters it is:
y=(x-14)^2


For us to get the equation of this graph, we followed the same steps as the one for 4 meters. The only problem was that we could only get differing heights for 5 meters. Which were 38 elastics for 5.75 meters, 37 elastics for 5.29 meters. We could only get these trials for 5 meters because if we added more, the barbie would hit the floor and if we added less the jump would enter the 4 meter range. Therefore, we predicted that as the barbie is falling under the same controlled variables, we predicted that we should assume that the graph would look somewhat similar. 

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