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Applications of College Algebra Presented by Dr. Sherry Savrda What is a scientific model? How is math used in modeling? Some examples of mathematical models Sliding friction Electric fields Freefall Applying our new ideas A simplified description of a physical phenomenon that retains all the primary features of the observed phenomenon Can take several forms Verbal Pictorial Graphical Mathematical An electric field is a way of describing how charged objects affect the space around themselves. A charged object placed in a field will feel a force, which is a result of the electric field interacting with the new charged particle. Objects moving near Earth and subject only to Earth’s gravitational field are said to be in freefall. The freefall model neglects both the size and the shape of the object that is moving in Earth’s gravitational field. The effects of air resistance (drag) are also neglected. y = 2 m + (20 m/s) t -(1/2)(9.8m/s2) t2 Ball thrown straight up from height 2 m with a speed of 20 m/s.