Calculus

In this unit, you will investigate how to apply differential and integral calculus methods to solve engineering problems. You will learn about the rules and procedures of calculus mathematics to obtain solutions to a variety of engineering problems. You will solve a complex problem from your specialist area of study and perhaps from a local organisation by breaking it down into a series of linked manageable steps. Each step will be solved using calculus methods learned through investigation and practice. These mathematical skills are transferable and will be used to support your study of other topics in the BTEC Nationals engineering programme, for example in mechanical principles and electrical systems.
As an engineer you need to understand and develop the skills required to solve problems using calculus and other mathematical procedures. This unit will prepare you well for progressing to higher education to study for an engineering degree or a Higher National Diploma (HND). It will
also help prepare you for an apprenticeship or for employment in a range of engineering disciplines as a technician, and will help you work with professional engineers as part of a team working on cutting-edge products and systems.

The Brief/Scenario
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:

is the instantaneous velocity of the car (m/s)
t is the time in seconds
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.

Learner Declaration
I certify that the work submitted for this assignment is my own. I have clearly referenced any sources used in the work; I understand that a false declaration is a form of malpractice.
I understand that by submitting my work online or via Grade Book, I am agreeing to the learner declaration above.

Learner Signature: Date:

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