Swimming Problem Maths Investigation

2370 Words5 Pages

Swimming Problem Maths Investigation

Introduction

============

A group of swimmers are following a training schedule that requires

them to dive into the water and swim one length of the swimming pool.

They must keep doing this until they have completed 20 lengths. For

safety's sake they have been allocated a single lane of the pool and

all the swimmers must swim in the same direction in single file.

Half of the swimmers say that it will be quickest always to swim in

the same direction, climbing out of the pool at the end of each length

to rejoin the queue. The other swimmers want to climb out of the pool

at the end of each length, wait until all the simmers have completed

the length and then swim back one by one in the opposite direction.

I have to pick the method that I prefer and I have chosen the one

where they get out at the end of each length, wait until all the

swimmers have completed the length and then swim back in the opposite

direction. I have chose this way because then the swimmers don't have

to waste their energy walking from one side of the pool to the other

all the time and they can use their energy to swim.

To set up a model for this experiment first of all I have to make a

few assumptions.

First of all I have to think of a set distance for the length of the

pool. Because this is a variable it will make a difference in the time

that it takes to do one length of the pool.

I also have to assume that all the swimmers are swimming at the same

speed and at a constant speed all of the time.

Each person has to dive in the pool so many seconds after the last

one, this I obviously or safety so people do not dive onto each other.

I will set up an appropriate model keeping in mind the assumptions

that I have made.

Open Document