1. Motion in One Dimension
Changes in Velocity

2. Acceleration Acceleration – rate of change in velocity
Positive acceleration usually means speeding up
Negative acceleration usually means slowing down
Calculated using the following formula
average acceleration = (final velocity – initial velocity)
time interval
aavg=Δv/Δt

3. Acceleration Measured in meters per second squared (m/s2)
Has both magnitude and direction
a=35 m/s2 northwest
If acceleration equals zero, velocity is constant

4. Velocity-Time Graphs If you graph velocity versus time
Slope equals acceleration
Positive slope – usually means positive acceleration
Can mean negative acceleration in the negative direction
Negative slope – usually means negative acceleration
Can mean positive acceleration in the negative direction
No slope (flat line) – no acceleration
Velocity is constant
Straight line – constant acceleration

5. Velocity-Time Graphs

6. Velocity-Time Graphs

7. Motion With Constant Acceleration
For an object with constant acceleration
Can calculate average velocity
Average velocity = (initial velocity + final velocity) 2
vavg= Σv/2
Displacement = 1/2 (initial velocity + final velocity) (time interval)
Δx =1/2Σv Δt

8. Motion With Constant Acceleration

9. Motion With Constant Acceleration

10. Motion With Constant Acceleration