models & acceleration
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Chapter 2
Models & Acceleration
Types of Speed• 1. Average Speed- total distance traveled
divided by the total time taken• 2. Speed (Instantaneous)- speed at a specific
point in your journey– Ex) Looking at the speedometer
Types of Models:
• 1. Physical- Look, touch, feel, & take measurements from– Scale- model is proportional to real object – Ex: A scale of 1 inch=10 feet, • Means every inch on the model = 10 feet in real life
2. Conceptual- describe how a concept works– Ex: the design of an atom, or how the earth and
planets orbit around the sun
• 3. Graphical- Shows relationship between variables on the x-axis and y-axis– Dependent (y)– Independent (x)
Cause and Effect Relationships
• Changing one variable (x) affects another (y)
• Best seen in graphs = Good way to see connections between two variables
Types of Relationships• 1. Strong Relationship-– small change in one makes a big change in
another– Often ‘positive’ slope
• 2. Weak Relationship-– Big change in one variable has little effect on the
other– Line looks flat
• 3. Inverse Relationship-– One variable increases, the other decreases– Often ‘negative’ slope
Dimensional Movement
• One Dimensional– Speed, linear equations, walking, free falling– Direction along one plane (horizontal OR vertical)
• Two Dimensional– Velocity, vectors, acceleration, objects moving at
angles – Direction in vertical AND horizontal – It’s direction-aware
Acceleration
• Acceleration - is the rate at which velocity changes– Rate means “over time”– Has a direction– Units- distance unit/time unit2
Acceleration formula
a = vf – vi
t
initial velocityfinal velocity
timeacceleration
3 Types of Acceleration
1. Deceleration- – Change in velocity going in a negative direction– Slowing down in a car
2. Zero Acceleration- – A constant velocity in one direction – Like “cruise control” in a car
3. Positive Acceleration– Change in a positive direction– Speeding up in a car
What can affect acceleration?
• Gravity- pulls everything toward the center of the Earth– Causes friction between moving objects
• In a free fall, the speed of objects increases by 9.8m/s for each second it falls
• So gravity constant is 9.8 m/s2
Circular Motion
• Objects moving in a circle still have a velocity • MUST have a constant velocity or would fall inward
or outward• As object moves around circle, direction of
motion is constantly changing (red arrow)– Therefore:• velocity & acceleration
is always changing