• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

IGCSE Modeling Project bouncing ball

Extracts from this document...


IGCSE Modeling Project bouncing ball

The aim of this investigation is to find out the equation that is suitable for the parabola on the graph. According to my experiment I find out that using a quadratic formula can use be suitable for parabola. The following equation proves my analysis:

                                        f(x)= ax²+bx+c ( this is a quadratic formula, this is the final                                                                        equation that we will get for the parabola)

For the first parabola the equation is y= -1.725x²+10.02x+1.99

This equation if you type it into a

...read more.


This formula will turn to a quadratic formula after solving it, and then it would be the equation for the parabola.

For example for the second parabola if you plot in the lowest and highest X coordinate in the bounce it should come out like this: = P (x-6) (x-12)

Then if you solve the equation it should turn out like: y= P (x²-18x+72)

Value P basically is the value that influence the curve so it’s a very important value in this equation. In order to find out P we have to take point from the table for example 9 then to find P we have to : f(9) =P (9²-18(9)+72=13.21

                                                                                        = P = 13.21/-9

                                                                                        = P = -1.46778(5d.p)

...read more.


          6.44/-8 = P

          -0.805 = P

          f (19)= P (19²-798+432)

          2.89/-5= P

          -0.578 = P

On the graph it occurs to be like: image04.png

I predict that the curve for the last little part of the graph should be approximately around y= -0.805 (x²-42x+432). But that is just a prediction because the information given is to less to make a more precise prediction.

In conclusion, according to my investigation the equations are quadratic formulas, and using the equation y= P (x-m) (x-n) you can find the quadratic form and if you plot the values in the quadratic form then you can find value P. then after that the quadratic formula of the curve or parabola will appear. Also the value of P and M and N can be changed to change the parabola or curve.

...read more.

This student written piece of work is one of many that can be found in our GCSE Miscellaneous section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Miscellaneous essays

  1. Statistics Project

    For the further investigation, I believe that a higher proportion of Labour constituents will be unemployed to the proportion of Conservative constituents in that position, as Labour is traditionally known as a party aimed at poorer, working class and unemployed people and does not believe in such Conservative policies such as privatization.

  2. MATHS COURSEWORK - Mayfield High - To analyse data provided by Mayfield High School ...

    This agrees with a all the other diagrams and disagrees with my hypothesis. I also decided to use a frequency polygon as further evidence to prove my hypothesis. The spread of pupils in year 10 and 11 will provide information on which years weight spreads out more.

  1. GCSE STATISTICS/Data Handling Coursework 2008

    14 10 14 < t ? 14.5 9 14.5 < t ? 15 8 15< t ? 15.5 13 15.5 < t ? 16 14 16 < t ? 16.5 8 16.5 < t ? 17.5 15 17.5 < t ?

  2. Maths Data handling Corsework

    A set of box plots and take the form of 3 appearances. These appearances are the skewness: a measure of which end of the data most values lie. There is positive skewness- when the median is lower than the mean; negative skewness- when the median is higher than the mean;

  1. The aim of the project is to investigate the correlation between multiple sets of ...

    I also believe that the same applies for females and travel by train; with an equal sample, there should still be more females than males travelling by this method 3) Finally, Due to the inconclusive amount of evidence relating to the correlation of age and method of travel, an

  2. Data Handling

    Many factors can be analysed here, was some people not relaxed, was there any miss calculations or miss readings when taking their pulses or time-sing by 4. PLAN During this investigation I will: 1. Select the grids that I need to do to analyse my hypothesis.

  1. Data Handling

    6 Engine size I think the engine size of the car is extremely important for the consumer, which makes it another essential figure. Engine size is important and will influence the car price but not as much as mileage and age.

  2. Statistics coursework. My first hypothesis is that people with a smaller hand span ...

    17.0 17. 18.2 18. 18.3 19. 19.0 20. 20.5 21. 20.7 22. 20.7 23. 22.0 24. 25.0 Males: 1. 05.7 2. 10.7 3. 11.3 4. 11.3 5. 12.7 6. 13.0 7. 13.3 8. 14.0 9. 14.2 10. 14.7 11. 15.2 12. 15.2 13. 15.5 14. 15.7 15. 16.0 16.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work