Produce a report that contains written descriptions, analysis and mathematics that shows how calculus can be used to solve an engineering: Btec level 3 engineering unit 7 assign. 3 Course Work, UOB, UK

Task

Produce a report that contains written descriptions, analysis, and mathematics that shows how calculus can be used to solve an engineering problem. The tasks are to:

• Use thinking methods to analyze 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 4
•  physical meaning of 4
• velocity of the car at {= 0
• asymptote of this function as f > 2x?

2. Sketch a graph of velocity vs. time.

3. Derive an equation x(1) for the instantaneous position of the car as a function of time. Identify the

•  value x whent=0s
• asymptote of this function as t > x

4. Sketch a graph of position vs. time.

5. Derive an equation a(t) for the instantaneous acceleration of the car as a function of time.
Identify the

• acceleration of the car att = 0s
• asymptote of this function as t — x

6. Sketch a graph of acceleration vs. time.

7. 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.