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 and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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