UNIT III- UNIFORMLY ACCELERATING PARTICLE MODEL
INSTRUCTIONAL GOALS
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
