![]() The water will spray a horizontal distance of a little more than 2.25 ft. ![]() This will allow infants to get fully wet and will also allow younger children to get their lower torso and legs wet before moving onto more advanced equipment. This version of the Silly Serpent will be constructed quite low to the ground, so the water will spray from a height of 1 ft but will reach a peak height of 2 ft. The second sample is the water trajectory from one of the fountains being squirted from a Silly Serpent. This cannon shoots water from a height of only 1 ft and the stream travels 1 ft horizontally. The low water pressure ensures no one is injured. The first sample is a low-powered cannon designed for infants. The equations for the parabolas have not been included however, you are required to include equations in your work. In the samples, the unit for the x-and y-axes is feet. Two samples are provided to help you get started. Show all of your work for obtaining the equation. For each of the five pieces of spray equipment you chose, write the equation of the parabola showing the trajectory of the sprayed water.You must justify the heights and lengths of the trajectories you choose-state why you made each choice and who will be using each piece of equipment. The trajectory of the water should approximate the shape of the water flow in the pictures of the various pieces of equipment. This will make your park exciting for your guests. The water in your spray park should be squirted from a variety of heights and travel a variety of distances.Therefore, only the first quadrant of your graph will be considered (positive x-values and positive y-values), although you should include all quadrants on your graph. The y-intercept should be at the source of the spraying water, and the x-axis should signify ground level.Choose units with which you are familiar, and clearly state the units you are using. Decide on the units for the x- and y-axes.On a labelled grid or using a graphing tool, draw the graph of the parabola showing the trajectory of the sprayed water.For each piece of equipment, do the following: Your first task is to choose five different pieces of equipment from the image shown. It is time to start designing your own spray park. To start those creative juices flowing, think about how you might use the following kinds of spray equipment. Your creative side will flourish, but you will also need your organizational ability. With each lesson, you will use your new skills to add detailed characteristics of the trajectories and functions to your design. You will use quadratic functions to model the paths of the water sprays.Īs you progress through the module, your skill with quadratic functions will increase. In the Module 3 Project you will design a spray park for a playground. These marvels include the trajectory (path) of the water being sprayed from various pipes and fountains and some of the metallic structures carrying the water. ![]() Aside from offering great joy to children, spray parks also offer delight to the mathematician who marvels at the multiple examples of the parabola. Spray parks are popular recreation environments designed with various types of equipment that spray, squirt, mist, and dump water on children. ![]() Boy: © Wong Hock Weng/3756513/Fotolia Water Park: Hemera/Thinkstock Red Hoop: iStockphoto/Thinkstock Water Canon: Hemera/Thinkstock ![]()
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