Lord Greene wants us to help his grandson, Little Johnny, with his new toy, the River Skipper boat. According to Lord Greene, Little Johnny likes to play around the center of the Greene Hilly estate, near the South Bridge. He has to release his boat somewhere along the Raging River and Lord Greene wants to suggest that he put it near the South Bridge and then retrieve the boat at the North Bridge.

However, Lord Greene is concerned if Little Johnny will reach the North Bridge in time to retrieve the boat from the river. Therefore, we need to find out how fast Little Johnny has to travel to retrieve the boat, whether it be in a straight path through the woods or along the driveway. Also, Lord Greene’s engineers informed us about the velocity setting that is currently being used for the River Skipper, V1 (x) = 1+5 cos2 x2, but they are also considering to use V2 (x) = 5 cos2 x2.

Our primary objective is to find the fastest rate for Little Johnny to travel to the North Bridge and to also find his rate if he were to travel along the driveway. To find his rate, we will use the formula distance = rate x time. However, the difficulty of this problem is finding the time that it takes the River Skipper to get from the South Bridge to the North Bridge with each velocity setting. Finding the time is difficult because the rate of the River Skipper is always changing at each position.

To overcome this difficulty, we found the area under the curve of the Raging River and subdivided it into smaller intervals. This overcomes the difficulty because the rate is considered to be fairly constant within each smaller piece of area and results in an approximation of the rate of the River Skipper.

First, we used the distance between two points formula (x2-x1)2+(y2-y1)2 to find the distance between the South Bridge and the North Bridge to determine Little Johnny’s straight path. Additionally,...

...Santoro, A. (2004). “Manipulatives: A Hands-On Approach to Math.” Principal, 84 (2), (28-28).
This article speaks about the importance and significance of the use of manipulatives in the classroom, specifically in the subject of math. Manipulatives have proven to be valuable when used in a math class and are even more valuable to the children when they are young, and are learning new math concepts. Students are able to physically...

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ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which...

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The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...

...Chapter 11
Four Decades of the Defence of
Australia: Reflections on Australian
Defence Policy over the Past 40 Years
Hugh White
The serious academic study of Australian defence policy can be said to have
begun with the publication of a book by the SDSC’s founder, Tom Millar, in
1965. The dust jacket of that book, Australia’s Defence, posed the following
question: ‘Can Australia Defend Itself?’ Millar thus placed the defence of Australia
at the centre of his (and the SDSC’s) work...

...Nicolas, Fatima May D.
2014 45876
My Math Experience
When I was younger math was my favorite subject, it was something that I felt very confident
with. Unlike english, history, and literature, where I had to exert extra effort, math was the only
subject that really came naturally to me. I remember when I was a kid my dad would test me on ...

...• What were the most revolutionary social and economic developments of the last quarter of the nineteenth century?
• How did different groups of Americans respond to those changes and how effective were their responses?
• What role did government play in these developments?
In the late 1900s some of the most social and economic developments were railroads, steel oil, the type writer cash register, light bulb and agriculture. The development of the railroad made it easier for immigrant to...

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total...

...UNIT 206
ai) Explain three differences between a working relationship and a personal relationship.
1) A personal relationship is based on emotional attatchment and wanting to be with this person. Where as a working relationship is not with people you have an emotional attachmnt with or you have personally selected.
2) In a working relationship you have boundaries that apply that are statd in your policies and procedures, we also have the responsibility to treat service users...