1. 3.2 Part B Notes
Motion graphs

2. Today’s Objectives
Write equations for the displacement and velocity of an object over time.
Recognize and draw graphs of an objects displacement and velocity verses time.

3. Displacement & Acceleration Equation
Displacement equals the original velocity multiplied by time plus one half the acceleration multiplied by the square of time.

4. Example
An object is moving with a velocity of 5.0 m/s. It accelerates constantly at 2.0 m/s/s, (2 m/s2), for a time period of 3.0 s. What is its displacement during this acceleration?

5. d = (5.0 m/s)(3.0 s) + (1/2)(2.0 m/s/s)(3.0 s)2
Example
An object is moving with a velocity of 5.0 m/s. It accelerates constantly at 2.0 m/s/s, (2 m/s2), for a time period of 3.0 s. What is its displacement during this acceleration?
So, this object moved 24 meters during the 3.0 seconds of the acceleration.
d = vot + (1/2)at2
Start here.
d = (5.0 m/s)(3.0 s) + (1/2)(2.0 m/s/s)(3.0 s)2
Plug in values with units.
d =
Do some intermediate mathematics.
d = 24 m
Come up with a final answer.

6. Constant velocity
Changing velocity

7. Positive Velocity Zero Acceleration
Positive Velocity Positive Acceleration