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t(0-28 m/s) t(400m) Images Candidate Car model (s) (s) (s) 1 1994 Ford SVT Boss Mustang 10.0L Concept 1.9 10.50 7.1 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( · 4(1- -e maxspeed where v(t) is the instantaneous velocity of the car (m/s) t is the time in seconds Emaxspeed A is a constant. is the time to reach the maximum speed in seconds 3. Derive an equation x(t) for the instantaneous position of the car as a function of time. Identify the value x when t=0s asymptote of this function as t→∞

t(0-28 m/s) t(400m) Images Candidate Car model (s) (s) (s) 1 1994 Ford SVT Boss Mustang 10.0L Concept 1.9 10.50 7.1 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( · 4(1- -e maxspeed where v(t) is the instantaneous velocity of the car (m/s) t is the time in seconds Emaxspeed A is a constant. is the time to reach the maximum speed in seconds 3. Derive an equation x(t) for the instantaneous position of the car as a function of time. Identify the value x when t=0s asymptote of this function as t→∞

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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please explain really clearly and simply as I;m struggling with this

t(0-28 m/s) t(400m) Images Candidate Car model (s) (s) (s) 1 1994 Ford SVT Boss Mustang 10.0L Concept 1.9 10.50 7.1 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) (1) = A ( 1 – 6 -e 'maxspeed where 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. 3. Derive an equation x(t) for the instantaneous position of the car as a function of time. Identify the valuex when t=0 s asymptote of this function as t→∞ 4. Sketch a graph of position vs. time.
Transcribed Image Text:t(0-28 m/s) t(400m) Images Candidate Car model (s) (s) (s) 1 1994 Ford SVT Boss Mustang 10.0L Concept 1.9 10.50 7.1 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) (1) = A ( 1 – 6 -e 'maxspeed where 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. 3. Derive an equation x(t) for the instantaneous position of the car as a function of time. Identify the valuex when t=0 s asymptote of this function as t→∞ 4. Sketch a graph of position vs. time.
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