4.05 Motion Applications

1) Watch & Note YouTube’s: Position, Velocity and Acceleration

2) Watch & Note YouTube’s: “Is the speed increasing or Decreasing AP Problem” 

3) Copy the following vocabulary in your notebook:

Velocity/Speed/Acceleration:

Velocity is the derivative of distance with standard units of m/s. Negative vs. positive velocity indicates direction of motion.

Speed represents the absolute value of velocity.

Acceleration is the derivative of velocity with standard units of m/s2.

Moving to the Left/Right: Refers to a change in direction of position of an object. If an object is moving to the “left,” the velocity would be negative, or f'(x)<0 . If the object is moving to the “right,” the velocity would be positive, or f'(x)>0.

Speed increasing/decreasing: Refers to the rate of change of velocity (ACCELERATION). Therefore, determine the ACCELERATION and the velocity at that moment. 

• For the speed to be increasing, the velocity and acceleration must have the SAME sign (moving away from the origin).

• If the velocity and acceleration have DIFFERENT signs (moving towards the origin), the speed is decreasing.