Men's short distance 100m freestyle swimming.
Introduction:
How do athletes continue to do better, jump longer, run or swim faster? Although scientists say athletes have reached their limits, records continue to fall. Athletes have improved in every track and field and swimming event since the Olympic movement began. Using mathematical techniques to determine if athletes will continue to better these records for a chosen track and field or swimming event at a constant rate or will the improvements increase or decrease over time. The accuracy of the model’s ability to predict future world record results will be evaluated.
Time
World Record
0
48.2
5
47.94
6
47.83
16
46.25
19
45.83
Assumptions
Observations
“Doping with anabolic steroids is banned by most sports leagues and groups. And it is not legal.”
The swimmer Michael Groß, Gustavo Borges, Aleksandr Popov, Ian Crocker, and Stefan Nystrand. They are the swimmers whose world records the data is based on. And they have no drug/steroid history.
It was observed that the first record for men's short distance 100m swim was 48.2 seconds (T=0) the second was set five years later (T=5) and was 47.94 seconds. So on and so fourth.
Now we assumed that all the times were recorded with an electric timer as human hands are terrible at accurate times.
The 5 listed world records follow a straight path.
“Short Course Pools – 25×18.29 meter min, with 6 or more lanes”
The distance a swimmer travles is 100m, but the pool is only 25m long. So the swimmer has to turn around. We have assumed that this will have no affect on the time as any time lost while turning around will be gained back after the swimmer launches themself off the side of the pool. It was also assumed that All the pools swam in were of the same size.
We can observe that the world record time decreases as we move down the table, which means that the athlete is improving with time. The first recorded time is 48.2 seconds, and the last recorded time is 45.83 seconds
Method:
Choose an event/collect data
Create a model (equation)
Create a Scatter plot
Calculate “r” value (Table/Formula/Desmos)
Calculate approx 6th/current world records
Determine Percentage error
Model:
The First and fifth world records were used. In order to find the gradient (m) the equation Y2-Y1/X2-X1 was used. The gradient is the rise of the line (how long it is vertically) over the run of the line (how long it is horizontally). The result was “-0.125”. In order to figure out the y-
