• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  • Level: GCSE
  • Subject: Maths
  • Word count: 2916

Investigating distances.

Extracts from this document...

Introduction

Maths Coursework

Investigating Distances

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

...read more.

Middle

10

770

840

910

980

1050

1120

1190

1260

1330

1400

There is a delay between each length because swimmer no 1 has to wait before swimmer 10 has finishes his last length before he can start his next length. This takes quite a lot of time while he/she is waiting to do his/her next length.

The total time it took for the swimmers to complete 20 lengths swimming at a constant speed of 1ms (metres per second) and starting swimming five seconds after the last person is 1400 seconds which is 23 minutes and 20 seconds.

I will now change the variables to see what happens to the results. I will keep the length of the pool at

25 metres but make it so the swimmers are swimming at a faster pace of 2ms. Here are the results.

Swimmer no

Length 1

2

3

4

5

6

7

8

9

10

1

12.5

70

127.5

185

242.5

300

357.5

415

472.5

530

2

17.5

75

132.5

190

247.5

305

362.5

420

477.5

535

3

22.5

80

137.5

195

252.5

310

367.5

425

482.5

540

4

27.5

85

142.5

200

257.5

315

372.5

430

487.5

545

5

32.5

90

147.5

205

262.5

320

377.5

435

492.5

550

6

37.5

95

152.5

210

267.5

325

382.5

440

497.5

555

7

42.5

100

157.5

215

272.5

330

387.5

445

502.5

560

8

47.5

105

162.5

220

277.5

335

392.5

450

507.5

565

9

52.5

110

167.5

225

282.5

340

397.5

455

512.5

570

10

57.5

115

172.5

230

287.5

345

402.5

460

517.5

575

I took 575 sec for 10 people to swim 10 lengths of a pool, which are 25 metres long and swimming at a constant rate of 2ms. This is a lot less time than when they were travelling a 1ms.

These is the results of the next 10 lengths

Swimmer No

Length 11

12

13

14

15

16

17

18

19

20

1

587.5

645

702.5

760

817.5

875

932.5

990

1047.5

1105

2

592.5

650

707.5

765

822.5

880

937.5

995

1052.5

1110

3

597.5

655

712.5

770

827.5

885

942.5

1000

1057.5

1115

4

602.5

660

717.5

775

832.5

890

947.5

1005

1062.5

1120

5

607.5

665

722.5

780

837.5

895

952.5

1010

1067.5

1125

6

612.5

670

727.5

785

842.5

900

957.5

1015

1072.5

1130

7

617.5

675

732.5

790

847.5

905

962.5

1020

1077.5

1135

8

622.5

680

737.5

795

852.5

910

967.5

1025

1082.5

1140

9

627.5

685

742.5

800

857.5

915

972.5

1030

1087.5

1145

10

632.5

690

747.5

805

862.5

920

977.5

1035

1092.5

1150

...read more.

Conclusion

If I had a lot more time and I was to change anything on this problem I would make the models more exact. I would find out actual swimming and walking times through testing and not just estimating. I would experiment on the average times it takes swimmers to swim 20 lengths. I would make the whole model more exact thus giving a more reliable result.

Based on the assumptions that I have made through this problem, the second method is the quickest way for the swimmers to complete 20 lengths. They walk using this method but they complete the 20 lengths in a lot less time than by using the other method.

...read more.

This student written piece of work is one of many that can be found in our GCSE Comparing length of words in newspapers 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 Comparing length of words in newspapers essays

  1. Investigate, for different size pool tables, the number of contacts, (including the start, rebounds ...

    The smallest grid would be 2 x 1 but this has already been drawn as a 1 x 2 table. 2 x 2 2 x 3 2 x 4 2 x 5 Length (L) Width (w) Bounces (b) 2 1 3 2 2 2 2 3 5 2 4 3

  2. How well can you estimate the length of an object?

    This proves my hypothesis is right because Year 11's estimates were more accurate. * Year 11's standard deviation is lower than Year 7's. This means my hypothesis is correct because the Year 11's estimates are more condensed. The histograms I have drawn show that a larger amount of the Year

  1. Consumer responses to wine bottle back labels

    Wine and Spirit Education Trust courses to formal university wine tasting courses. Just under half (42%) of the respondents were employed in some way in the wine industry, and were therefore more informed than the average wine drinker. The sample thus included people involved in wine production, retail and management,

  2. A group of swimmers have a training schedule - design the best way for ...

    As the swimmers are all swimming at the same speed, their safety gaps will always stay the same. Hypothesis: I think that both models will produce an optimum time, but for a different number of people. Also, I think I will have to make a third model for an extension for model one, which is model one plus queuing time.

  1. I have decided to test a group of pupils in order to investigate if ...

    After data collection is complete and the results have been recorded in tables I can then begin to analyse the data in order to see if there are any trends or patterns. To make analysis of the data easier I will draw various graphs from the results.

  2. An Experiment to measure the gravitational field strength of the Earth and the length ...

    a table and calculate values for T2 * Plot a graph of T2 against l * Find the diameter of the bob using a micrometer screw gauge and the length of the hook using a ruler N.B. when the length exceeds 1.000m, it would be more accurate and more straightforward

  1. Does people's ability to estimate lengths improve after being shown an accurate length?

    So from 1-5 age group ,4 males and 4 females. As you can see, the age group only goes up to 40, I could go higher , but I do not intend to. Once my data capture is filled with results (about 40), I will enter these results into a

  2. A Six Session Training Program for Swimming

    Rest, 4 lengths arms only, 20 sec. Rest, 2 lengths legs only, 20 sec. Rest, 4 lengths full stroke, 20 sec. Rest, Drill- 4 lengths arms with butterfly legs. 1 min. rest. 5 one length sprints walking back to the start of the pool after each length(this being your rest).

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