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'Car Test Run Data' I will be using this graph for this investigation. From this graph I will need to model three linear functions, to represent an estimate speed of the car for the whole journey.

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  • Essay length: 4463 words
  • Submitted: 19/06/2006
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University Degree Mathematics

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Introduction

This is the original graph of the 'Car Test Run Data'; I will be using this graph for this investigation. From this graph I will need to model three linear functions, to represent an estimate speed of the car for the whole journey. To do this at first I will need to draw three different straight lines on this graph, which will represent an estimate of this graph, an example of such models: V=mt + c. Then I will need to evaluate how well these functions fit the original speed, which will be carried out by calculating the percentage error of each functions. Following this I will also need to model the speed of the car using a quadratic function. This should represent an estimate for the whole journey of the car. The quadratic function will be modelled by choosing three points from the original graph. Then solving them as simultaneous equations to find the values of 'a' and 'b' of this quadratic: V=at2 + bt + c. Then I will need to evaluate how well the quadratic function fits the original speed of the test run car.

Method & Calculations

Information from the 'car test run

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