Do the following:

$1\mathrm{.}1$ Define the Problem $(3$ Marks$)$

a$)$ Define the problem using only essential information,

b$)$ Recognize missing information and

c$)$ List necessary assumptions using engineering, physics, and math principles.

$1\mathrm{.}2$ Formulate the Problem $(3$ Marks$)$

a$)$ Develop a correct model for the problem considering all essential features using engineering, science, and math principles.

b$)$ Demonstrate no conceptual or procedural errors, and

c$)$ Prove rigorous knowledge in relevant technical areas.

$1\mathrm{.}3$ Solve the Problem $(3$ Marks$)$

a$)$ Demonstrate creative synthesis by combining knowledge and information,

b$)$ Obtain meaningful solution$($s$),$ and

c$)$ Reflect upon results.

Show your solution with details.