Acceleration and accelerated motion

Acceleration
1. Changes in speed and/or direction cause acceleration
  1. Detecting velocity and acceleration
2. Average acceleration is velocity change over time
  1. Units of acceleration
3. Acceleration can change with time or be constant
  1. instantaneous and constant acceleration
4. Acceleration can be determined graphically
  1. Velocity-time graph
5. Objects can accelerate or decelerate
  1. when velocity and acceleration have opposite signs the speed decrease
motion with constant acceleration
1. Multiplying acceleration and time gives the change in velocity
  1. Velocity-time equation
2. Average velocity is easy to calculate
  1. when the acceleration is constant, the average velocity is equal to the sum of the initial and final velocities divided by 2
3. Average velocity is used in equations of motion
  1. position-time equation with initial and final velocity
  2. Position-time equation with average velocity
4. A velocity-time graph indicates distance traveled
  1. the distance traveled by an object is equal to the area under its velocity-time curve
5. Position is related to accelerated and time
  1. position-time equation for constant acceleration
6. Acceleration causes velocity to change with position
  1. velocity-position equation
Position-time graphs for constant acceleration
1. Position-time graphs of accelerated motion are not linear
  1. acceleration and curvature
2. Position-time graphs can track multiple objects
  1. Position-time curves
3. Graphs can show acceleration and deceleration
  1. apogee
Free fall
1. Freely falling objects have constant acceleration
  1. Galileo Galilei
2. Many situations approximate free fall
  1. air resistance
3. Freely falling objects are always accelerating
  1. Gravity
4. Position and velocity change differently in free fall
  1. Symmetry of motion
5. the acceleration due to gravity is denoted as g
  1. Symbol g

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Acceleration and accelerated motion

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