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Equations and Problem-Solving

* An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance travelled before take-off.

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Solutions
Given: a = +3.2 m/s2| t = 32.8 s| vi = 0 m/s|
| Find:d = ??|

d = VI*t + 0.5*a*t2
d = (0 m/s)*(32.8 s) + 0.5*(3.20 m/s2)*(32.8 s)2
d = 1720 m

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Equations and Problem-Solving

* A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

Given: d = 110 m| t = 5.21 s| vi = 0 m/s|
| Find:a =??|

d = VI*t + 0.5*a*t2
110 m = (0 m/s)*(5.21 s) + 0.5*(a)*(5.21 s)2
110 m = (13.57 s2)*a
a = (110 m)/ (13.57 s2)
a = 8.10 m/ s2

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Equations and Problem-Solving

* Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.8 seconds, then what is the acceleration and what is the distance that the sled travels?

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Solutions
Given: vi = 0 m/s| vf = 44 m/s| t = 1.80 s|
| Find:a =??d =??|

a = (Delta v)/t
a = (444 m/s - 0 m/s)/ (1.80 s)
a = 247 m/s2
d = VI*t + 0.5*a*t2
d = (0 m/s)*(1.80 s) + 0.5*(247 m/s2)*(1.80 s)2
d = 0 m + 400 m
d = 400 m
(Note: the d can also be calculated using the equation vf2 = vi2 + 2*a*d) -------------------------------------------------
Equations and Problem-Solving

* A kangaroo is capable of jumping to a height of 2.62 m. Determine the take-off speed of the kangaroo.

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Solutions
Given: a = -9.8 m/s2| vf = 0 m/s| d = 2.62 m|
| Find:VI =??|

...In my efforts to solve a problem I have often begun by identifying the one issue that affects me and focus on the individual tasks that led to the problem attempting to use logical and critical thinking. I have hit upon the realization that this focus works well with simpler problems that need immediate clarification but it has proven appropriate that problems that are more difficult and require a more long-term and elaborate answer requires the use of a Systems Thinking approach. My failure to seek broad, long-term solutions has me stamping out grass fires while my house burns down. I have adopted Daniel Aronson ideas on systems thinking to aid in keeping “the big picture” when developing solutions.
Critical and creative thinking processes are required when solvingproblems using systems thinking but I see the concentration shift from breaking down and examining individual tasks to studying how various system tasks shape both that system and the other systems in which it interacts.
When using systems thinking, essential in arriving to an amicable and effective end state are the realizations that must be shared by the solution seekers. To which all players must realize that their roles affect other stakeholders and the desired outcome. Each seeker should study how past solutions have added to a problem and therefore any steps to correct a current problem...

...Decision-Making & ProblemSolving
“Thinking is any mental activity that helps formulate or solve a problem, make a decision, or fulfill a desire to understand. It is a searching for answers, a reaching for meaning.” –Vincent Ryan Ruggiero
* Develop evidence to support views
* Analyze situations carefully
* Discuss subjects in an organized way
* Predict the consequences of actions
* Weigh alternatives
* Generate and organize ideas
* Form and apply concepts
* Design systematic plans of action
A 5 Step ProblemSolving Strategy
1. Specify the problem – the first step to solving a problem is to identify it as specifically as possible. It involves evaluating the present state and determining how it differs from the goal state.
2. Analyze the problem - analyzing the problem involves learning as much as you can about it. It may be necessary to look beyond the obvious, surface situation, to stretch your imagination and reach for more creative options.
* seek other perspectives (ask other people there opinion)
* be flexible in your analysis
* consider various strands of impact
* brainstorm about all possibilities and implications (use some brainstorm activities)
* Research problems for which you lack complete information. Get help.
3....

...Technology
ProblemSolving
Objectives
Outline the steps in problemsolving
Decompose a simple problem into its significant parts
Understand the variables, constants and data types used when solvingproblems on a computer.
Explain and develop algorithms
Represent algorithms in pseudocode or flowcharts
Topics to be covered
ProblemSolving
The Processing Cycle
Defining Diagrams
Algorithms
Pseudocode
Flowcharts
ProblemSolving
We are faced with different types of problems in our everyday life. Every problem requires a solution to resolve it. There maybe more than one solution to a problem.
Problem-solving involves identifying, analyzing and resolving problems using logic, reasoning skills and analytical skills.
A problem is a discrepancy between what is required and what exists. Problem can be simple or complex depending on its nature. A single-task problem is usually a relatively simple problem, whereas a multi-task problem is usually more complex and may require more resources to solve.
A solution is a procedure consisting of a set of instructions that, if followed in order, achieve the required result.
Problem...

...about generational differences in workplaces. Firstly, causes, which are the lack of understanding probably due to biases, common attitudes and tools of communication worth an in-depth investigation, followed by consequences of the problem, that is confusion, mistanding, and even confilcits of each other. Ultimately, solutions of the problem due to generational differences in a workplace will be delineated.
Communication is the conveying of ideas together with absorbing one’s opinions (Sinclair, 2001). ‘We have two ears and one mouth so that we can listen twice as much as we speak’ – to communicate effectively, we should put effort into listening to and thus understanding each other (Epictetus). However, an effective communication is exactly what is lacking between different generations, which is one of the major problems in a workplace.
First of all, generations do not understand one another well probably due to each’s biases against the others: the idea that the older generations are stubborn and reluctant to accept new opinions is deep-rooted among Gen Y-ers, the younger generations, while Gen X-ers, the older generations deem that the youngsters nowadays are lackadaisical. What must not be overlooked is that the mass media has worsened the problem by developing terms like “70s’”, “80s’” and “90s’” that encompass stereotypical and generalizing qualities regarding each group, causing even greater prejudice...

...LEARNING OUTCOME
1
WE ARE ALWAYS LOOKING
FOR
SOLUTIONS
PROBLEM – SOLVING TECHNIQUE
UNDERSTANDING
OBSERVATION
IDEATION
PROTOTYPING
Understanding
IDENTIFY
• ISSUE HAS TO BE IDENTIFIED
• ASK QUESTIONS TO KNOW BETTER :
+ is the issue really a problem ?
+ how does it help if the issue is
solved?
+ is it worth the time & money to
solve it?
+ is it be profitable?
• Understanding is not restricted to only
identifying the issue.
• It can even be a technique for idea creating
Observation
IDENTIFIED
ISSUE IDENTIFIED :
# STUDY THE SITUATION TO KNOW MORE
# KNOW CONSUMERS’ REACTION TOWARDS
SOLUTION
# STUDY THE CAUSE AND EFFECT OF THE ISSUE
# KNOW THE INFORMATION ABOUT THE SITUATION
INSIDE OUT
# ASK FREQUENTLY ON HOW IT CAN BE SOLVED
# ALWAYS LOOK OUT FOR PROBLEMS THAT MAY
ARISE
Ideation
Every idea no matter
whacky it is ; is still an idea.
how
Generating ideas
• All about being Creative
• Simplicity
• Extent we can go to
achieve the solution
• Availability of technology
Creativity
• How to come up with ideas?
BRAINSTORMING
FOCUS
DEFINE THE ISSUE
BRAINSTORMING
PARALLEL
THINKING
RANDOM
• Define the issue – know where you are standing.
Know your ground very well.
• Focus – know where you are heading to. Always
check if the idea is relevant. Out of topic is
definitely out of question
• Random – come up with ideas...

...Where there is a problem there is a solution. No matter how complicated nor how elusive the solution is one is always there. Problems are the basis of jobs and careers: restaurants for hunger, movies and video games for boredom, news for information etc. However, with basic problems that have a set solution there are a variety of ways to solve it.
Working backwards, although slightly different, is a widely used and very effective way ofsolvingproblems. 1 (Referring to page "Problem I") Most people would look at this problem and would loathe solving it because it would involve creating a long complicated algebraic problem. Using the method of working backwards even a child who hasn't learned algebra can solve the same problem and maybe even faster. Working backwards takes one to the answer and then works backwards throughout the problem to see how the solution was reached.
Means-Ends analysis is another way to solve a problem. "...combines aspects of both forward and backward reasoning in that both the condition and action portions of rules are looked at when considering which rule to apply." In some ways is the same as Working backwards, but different in the aspect of seeing the answer and finding the means it took to make it to that answer. 2 "However, even without the ordering of...

...decisions and solvingproblems. It is work of choosing issues that require attention, setting goals, finding or designing suitable courses of action, and evaluating and choosing among alternative actions. The first three of these activities--fixing agendas, setting goals, and designing actions--are usually called problemsolving; the last, evaluating and choosing, is usually called decision making. Nothing is more important for the well-being of society than that this work be performed effectively, that we address successfully the many problems requiring attention at the national level (the budget and trade deficits, AIDS, national security, the mitigation of earthquake damage), at the level of business organizations (product improvement, efficiency of production, choice of investments), and at the level of our individual lives (choosing a career or a school, buying a house).
The abilities and skills that determine the quality of our decisions and problem solutions are stored not only in more than 200 million human heads, but also in tools and machines, and especially today in those machines we call computers. This fund of brains and its attendant machines form the basis of our American ingenuity, an ingenuity that has permitted U.S. society to reach remarkable levels of economic productivity.
There are no more promising or important targets for basic scientific research than...