Given that value t(0-28m/s)(s) =2.5

And that t(400m)(s) = 9.75

With tmax (s) = 8.0

P.s, if you have to create a table, please use excel or any other digital data app/site.

• Use thinking methods to analyse the given engineering problem, e.g. break the problem down into a series of manageable elements, and produce a specification
• Prepare a valid proposal for solving the problem and present it
• Produce mathematical models for the identified elements of the problem
• Apply calculus methods to produce answers for each of the elements
• Bring the elements together in a formal presentation

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:

• units of the coefficient A
• physical meaning of A
• velocity of the car at t = 0
• asymptote of this function as t→∞?

1. Sketch a graph of velocity vs. time.
2. Derive an equation xt) 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 → ∞

1. Sketch a graph of position vs. time.
2. Derive an equation 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 → 0

1. Sketch a graph of acceleration vs. time.
2. 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.