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→∞
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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