You are working as a Junior Engineer for a small motor racing team. You have been given a proposed mathematical model to calculate the velocity of a car accelerating from rest in a straight line. The equation is: (₁ - – e Imaxspeed е v(t) = A v(t) is the instantaneous velocity of the car (m/s) It is the time in seconds tmaxspeed is the time to reach the maximum speed in seconds A is a constant. The Team Manager has asked you to carry out an analysis of the model and produce a written report. As part of the analysis you have been given some data on a known model.
You are working as a Junior Engineer for a small motor racing team. You have been given a proposed mathematical model to calculate the velocity of a car accelerating from rest in a straight line. The equation is: (₁ - – e Imaxspeed е v(t) = A v(t) is the instantaneous velocity of the car (m/s) It is the time in seconds tmaxspeed is the time to reach the maximum speed in seconds A is a constant. The Team Manager has asked you to carry out an analysis of the model and produce a written report. As part of the analysis you have been given some data on a known model.
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Question
Note: your car is bugatti Veyron 16.4 grand sport vitesse - [2012], And the Value of cofficient A = 10
question:
draw a graph of position vs. time. t = (0-5) s
![Candidate Car model
1
2
3
45
6
7
8
9
10
12
13
14
15
1994 Ford SVT Boss Mustang 10.0L
Concept
2002 Chevrolet Corvette (Lingenfelter
427 Twin Turbo)
Bugatti Veyron 16.4 Grand Sport Vitesse
- [2012]
Caterham 7 620 R 2.0 L Supercharged -
[2013]
Ariel Atom V8 500 [2008]
Bugatti Veyron 8.0 litre W16 Super Sport
- [2010]
Caparo T1 2.4 V8 - [2006]
Hennessey Venom GT - [2010]
Radical RXC 3.5 V6 Twin Turbo - [2014]
Ascari A10 5.0 V8 - [2006]
Lamborghini Veneno 6.5 V12 - [2013]
Porsche 918 Spyder 4.6 V8 - [2013]
Caterham 7 Superlight R500 - [2009]
Ferrari F12 tdf 6.3 V12 - [20151
t(0-28 |t(400m)|maxspeed
m/s) (s) (s)
1.9
2.0
2.5
2.8
2.3
2.5
2.5
2.5
2.6
2.8
2.8
2.8
2.9
2.9
10.50
(s)
9.21
7.1
9.10 6.8
10.2
10.91
7.0
10.80 5.0
9.75
8.0
8.23
7.0
8.64 8.5
10.46
7.0
10.36
7.8
9.92
8.5
11.49
8.2
11.32
8.0
10.18 7.4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a374032-eb6a-452e-b499-5bf877eae559%2F4abb425b-6a67-44d9-9e7e-d8f71d29d24e%2F4u2ilw5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Candidate Car model
1
2
3
45
6
7
8
9
10
12
13
14
15
1994 Ford SVT Boss Mustang 10.0L
Concept
2002 Chevrolet Corvette (Lingenfelter
427 Twin Turbo)
Bugatti Veyron 16.4 Grand Sport Vitesse
- [2012]
Caterham 7 620 R 2.0 L Supercharged -
[2013]
Ariel Atom V8 500 [2008]
Bugatti Veyron 8.0 litre W16 Super Sport
- [2010]
Caparo T1 2.4 V8 - [2006]
Hennessey Venom GT - [2010]
Radical RXC 3.5 V6 Twin Turbo - [2014]
Ascari A10 5.0 V8 - [2006]
Lamborghini Veneno 6.5 V12 - [2013]
Porsche 918 Spyder 4.6 V8 - [2013]
Caterham 7 Superlight R500 - [2009]
Ferrari F12 tdf 6.3 V12 - [20151
t(0-28 |t(400m)|maxspeed
m/s) (s) (s)
1.9
2.0
2.5
2.8
2.3
2.5
2.5
2.5
2.6
2.8
2.8
2.8
2.9
2.9
10.50
(s)
9.21
7.1
9.10 6.8
10.2
10.91
7.0
10.80 5.0
9.75
8.0
8.23
7.0
8.64 8.5
10.46
7.0
10.36
7.8
9.92
8.5
11.49
8.2
11.32
8.0
10.18 7.4
Transcribed Image Text:You are working as a Junior Engineer for a small
motor racing team. You have been given a
proposed mathematical model to calculate the
velocity of a car accelerating from rest in a straight
line. The equation is:
v(t) = A (1 — e tmaxspeed
v(t) is the instantaneous velocity of the car (m/s)
t is the time in seconds
tmaxspeed is the time to reach the maximum speed
in seconds
A is a constant.
The Team Manager has asked you to carry out an
analysis of the model and produce a written report.
As part of the analysis you have been given some
data on a known model.
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