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)**

**p**osition 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 t_{i} to t_{f} interval

Eq. 4 parabolic equation for an **x**-t graph

Eq. 5 generalized equation for any t_{i} to t_{f} interval

**4. Analysis
of free fall**