1.  Thoroughly explain concepts of acceleration, average vs instantaneous velocity

      Contrast graphs of objects undergoing constant velocity and constant acceleration

      Define instantaneous velocity (slope of tangent to curve in x vs t graph)

      Distinguish between instantaneous and average velocity

      Define acceleration, including its vector nature

      Motion map now includes acceleration vectors


2.   Provide multiple representations of acceleration (graphical, algebraic, diagrammatic)

position vs. time (slope of tangent = instantaneous velocity)

velocity vs. time (slope = acceleration, area under curve = change in position)

acceleration vs. time (area under curve = change in velocity)


3.   Uniformly Accelerating Particle model

      Derive the following relationships from experimentation, x vs t graphs, v vs t graphs, and equation manipulation.

Eq. 1    definition of average acceleration

Eq. 2    linear equation for a v-t graph

Eq. 3    generalized equation for any ti to tf interval

Eq. 4    parabolic equation for an x-t graph

Eq. 5    generalized equation for any ti to tf interval  


4.   Analysis of free fall