Is the Acceleration
Constant, Increasing or Zero?

Review

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Fill in the Blanks Notes

IV. Motion Equations for Problem Solving

When an object is moving at a constant acceleration we can use the following equations to find motion information

A. Constant Accel. Equations

(see Reference Table)

1. Average Velocity

V = (Vi + Vf)/2

or

V = Δd/Δt

2. Acceleration:

a = (Vf - Vi)/t

Cross multiply & Solve

at = (Vf - Vi)

Add Vi to both sides

 Vf = Vi + at

3. Displacement:

V = Δd/Δt

B. Additional Equations

Take Equation 3 and solve for d

Δd = V Δt

• Substitute Equation 1 into previous equation

Δd =[(Vi + Vf)/2]Δt

Since Vf = Vi + at

Δd =[(Vi + (Vi + at)/2]Δt

Gather like terms and solve for d

 Δd =Vit +1/2at2

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