In your proposal you need to outline the problem and the methods needed to solve it. You need to include how to 1. Identify the I units of the coefficient A I physical meaning ofA I velocityr of the car at f = O o asymptote of this function as i ~ 00? 2- Sketch a graph of velocity vs. time. 3- Derive an equation x") for the instantaneous position of the car as a function of time. Identify the o valuexvvhenr=Os I asymptote of this function as t ~ 3:: 4- Sketch a graph of position vs. time. 5- Derive an equation o.{?)for the instantaneous acceleration of the car as a function of time. Identify the I acceleration of the car att = O s I asymptote of this function as t ~ 00 5- Sketch a graph of acceleration vs. time. 1 Apply your mathematical models to your allocated car. Use the given data for the 0 - 23 mfs and 400m times to calculate the: I value of the coefficient A 0 maximum velocity no maximum acceleration. 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 strai ht line. The e uation is: VIII] = A [l E fluent-mead) 1-1:) is the instantaneous velocity of the car {mfsl t is the time in seconds rum"; is the time to reach the maximum speed in seconds A is a constant. The Team Manager has asked you to carry out an analysis of the model and produce a written report. As part of the analysis you have been given some data on a known model