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1.5 Five Key Uniform Acceleration Equations

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## 1.5 Five Key Uniform Acceleration Equations

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**1.5 Five Key Uniform Acceleration Equations**• As shown in the previous lessons, graphical analysis is an important tool physicists to use to solve problems. However, sometimes we have enough information to solve problems algebraically. • Algebraic methods tend to be quicker and more convenient than graphical analysis. • When solving uniform acceleration problems, choose which equations to use based on the given and required variables of the problem.**1.5 Five Key Uniform Acceleration Equations**• To be able to solve uniform acceleration problems, we need to derive algebraic equations from a change in velocity using a standard graph . • The 1st Equation stems from the area under the graph**1.5 Five Key Uniform Acceleration Equations**• The 2nd Equation stems from the slope of the graph and rearranging for .**1.5 Five Key Uniform Acceleration Equations**• In order to produce the 3rd Equation, we substitute Equation 2 into Equation 1 for as shown below. • Equations 4 and 5 are similarly produced via substitution, by rearranging Equation 2 for and ∆t.**1.5 Five Key Uniform Acceleration Equations**• SP #1-3 p.38-39**1.5 Five Key Uniform Acceleration Equations**• It is important to note that these five equations are used only when an object undergoes acceleration, a change in velocity. • If an object is travelling at a constant velocity, we simply use the equation for constant velocity from section 1.2.**1.5 Homework**• Practice # 1,2 p.39 • Questions #1-6 p.39