Module 4 Concept Exercise: Radical Expressions

i) In this Module, you will be required to work on a concept exercise. The purpose of this exercise is not only to solve a mathematical problem using the concepts learned in this module, but also to demonstrate understanding of those concepts through written language. Your written responses are equally as important as your actual solution to the problem.

ii) Problem: The kinetic Energy (K) of a moving object varies jointly with its mass (m) and the square of its velocity (v). If an object has a mass of 22.5 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 Joules, find its kinetic energy when the velocity is 32 meters per second.

(a) Part A: Solve the above problem using any methods, concepts, and procedures learned throughout the course thus far. All work must be shown and completed in an equation editor.

(b) Part B: Write a 250 word summary of the above problem. Your written work should include but necessarily be limited to the following; an explanation of the problem, a review of the mathematical concepts involved, a critique of the method used to obtain the solution, and an interpretation of the answer. Your summary should be written in APA format, should demonstrate proper use of the English language, and be mathematically precise.

iii) Your final result must be completed in a Word document. All mathematical work must be completed using the Microsoft equation editor or equivalent.

i) In this Module, you will be required to work on a concept exercise. The purpose of this exercise is not only to solve a mathematical problem using the concepts learned in this module, but also to demonstrate understanding of those concepts through written language. Your written responses are equally as important as your actual solution to the problem.

ii) Problem: The kinetic Energy (K) of a moving object varies jointly with its mass (m) and the square of its velocity (v). If an object has a mass of 22.5 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 Joules, find its kinetic energy when the velocity is 32 meters per second.

(a) Part A: Solve the above problem using any methods, concepts, and procedures learned throughout the course thus far. All work must be shown and completed in an equation editor.

(b) Part B: Write a 250 word summary of the above problem. Your written work should include but necessarily be limited to the following; an explanation of the problem, a review of the mathematical concepts involved, a critique of the method used to obtain the solution, and an interpretation of the answer. Your summary should be written in APA format, should demonstrate proper use of the English language, and be mathematically precise.

iii) Your final result must be completed in a Word document. All mathematical work must be completed using the Microsoft equation editor or equivalent.

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