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Experiments indicate the braking distance, d, before a car comes to rest from a speed, v (Table 2). v/mph d/ metres 20 40 60 72 14 36 Table 2: Braking distances for various speeds It is believed that the relation between braking distance and speed can be modelled by a quadratic function, d = a+bv+cv° . (i) (ii) (ii) Use the given data to obtain 3 equations. What are the unknowns? Solve the set of equations using Cramer's rule. What is the expected braking distance for a speed of 30 mph?

Experiments indicate the braking distance, d, before a car comes to rest from a speed, v (Table 2). v/mph d/ metres 20 40 60 72 14 36 Table 2: Braking distances for various speeds It is believed that the relation between braking distance and speed can be modelled by a quadratic function, d = a+bv+cv° . (i) (ii) (ii) Use the given data to obtain 3 equations. What are the unknowns? Solve the set of equations using Cramer's rule. What is the expected braking distance for a speed of 30 mph?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. Experiments indicate the braking distance, d, before a car comes to rest from a speed , ν (Table 2). v/ mph d/ metres 20 40 60 14 36 72 Table 2: Braking distances for various speeds It is believed that the relation between braking distance and speed can be modelled by a quadratic function, d = a+bv+ev² . (i) (ii) (iii) Use the given data to obtain 3 equations. What are the unknowns? Solve the set of equations using Cramer's rule. What is the expected braking distance for a speed of 30 mph?
Transcribed Image Text:6. Experiments indicate the braking distance, d, before a car comes to rest from a speed , ν (Table 2). v/ mph d/ metres 20 40 60 14 36 72 Table 2: Braking distances for various speeds It is believed that the relation between braking distance and speed can be modelled by a quadratic function, d = a+bv+ev² . (i) (ii) (iii) Use the given data to obtain 3 equations. What are the unknowns? Solve the set of equations using Cramer's rule. What is the expected braking distance for a speed of 30 mph?
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