Define a given engineering problem and present a proposal to solve it
Solve, using calculus methods and a mathematical model, a given engineering problem
v(t)=A(1- e^(-t/t_maxspeed ) )
v(t) is the instantaneous velocity of the car (m/s)
t is the time in seconds
t_maxspeed is the time to reach the maximum speed in seconds
A is a constant.
Identify the
units of the coefficient A
physical meaning of A
velocity of the car at t = 0
asymptote of this function as t → ∞?
Sketch a graph of velocity vs. time.
Derive an equation x(t) for the instantaneous position of the car as a function of time. Identify the
value x when t = 0 s
asymptote of this function as t → ∞
Sketch a graph of position vs. time.
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 = 0 s
asymptote of this function as t → ∞
Sketch a graph of acceleration vs. time.
Apply your mathematical models to your allocated car. Use the given data for the 0 – 28 m/s and 400m times to calculate the:
value of the coefficient A
maximum velocity
maximum acceleration.
t(0-28 m/s) (s)=2.5, t(400m) (s)=8.23, tmaxspeed (s)=7.0