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
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24240fd2-edc5-4348-935d-f109cf61ff6f%2Fa874e429-d0e1-4bf7-820a-dd4ad771bf55%2Fwxcwdxd_processed.jpeg&w=3840&q=75)
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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