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.39Questions #1-6 p.39