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t(0-28 m/s) (x) (400m) (x) Candidate Car model (x) 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)-A1- where (t) is the instantaneous velocity of the car (m/s) r is the time in seconds maxspeed is the time to reach the maximum speed in seconds A is a constant 5. Derive an equation a(t) for the instantaneous acceleration of the car as a function of time. Identify the = Os acceleration of the car at t asymptote of this function as t→→∞ 6. Sketch a graph of acceleration vs. time.

t(0-28 m/s) (x) (400m) (x) Candidate Car model (x) 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)-A1- where (t) is the instantaneous velocity of the car (m/s) r is the time in seconds maxspeed is the time to reach the maximum speed in seconds A is a constant 5. Derive an equation a(t) for the instantaneous acceleration of the car as a function of time. Identify the = Os acceleration of the car at t asymptote of this function as t→→∞ 6. Sketch a graph of acceleration vs. time.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Please try and give a really simple clear explanation as I struggle with this topic. Thank you.

t(0-28 m/s) (s) (400m) (s) Candidate Car model (s) 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(1-e maps) where v(t) is the instantaneous velocity of the car (m/s) t is the time in seconds maxspeed is the time to reach the maximum speed in seconds A is a constant. 5. Derive an equation a(t) for the instantaneous acceleration of the car as a function of time. Identify the • acceleration of the car at t = Os • asymptote of this function as t→∞ 6. Sketch a graph of acceleration vs. time.
Transcribed Image Text:t(0-28 m/s) (s) (400m) (s) Candidate Car model (s) 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(1-e maps) where v(t) is the instantaneous velocity of the car (m/s) t is the time in seconds maxspeed is the time to reach the maximum speed in seconds A is a constant. 5. Derive an equation a(t) for the instantaneous acceleration of the car as a function of time. Identify the • acceleration of the car at t = Os • asymptote of this function as t→∞ 6. Sketch a graph of acceleration vs. time.
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