motion review. what is the difference between an independent and dependent variable?
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MotionReview
What is the difference between an independent and dependent variable?
Which is the D.V. and I.V.?
Look at the following images below, what are the observables and measureables?
What are your Observables?
Possibilities:
Size
Color
Texture
What are your Measureables?
Possibilities:
Circumference
Area
Radius
Diameter
Write a Possible Question and Identify the Dependent & Independent Variables
Independent Variable:
Ex: Area
Dependent Variable:
Ex: Circumference
Question:
Ex: How does circumference of a circle depend on area?
Linearizing Data
Does the graph shown below need to be linearized? Why or why not?
How would you linearize this data? To linearize:
Y = 1/X
Or
P = 1/V
What is the difference between distance,
displacement, and position?
What is the difference between velocity and speed?
What are the equations and units for:Speed
and Average Velocity?
Speed = Distance/ Time
Average Velocity= ∆x/∆t = change in displacement/ change in
time
Units: m/s
Calculate This Speed
A football field is about 100 m long. If it takes a person 20 seconds to run its length, how fast was the football player running?
Calculate this Speed:
A football field is about 100 m long. If it takes a person 20 seconds to run its length, how fast was the football player running?
Speed = Distance ÷ Time
Speed = 100 m ÷ 20 sSpeed = 5m/s
Remember to include
the UNITS!!
What is the difference between average and instantaneous
velocity?
Average velocity is the overall change in displacement over time. Instantaneous velocity tells you how fast an object is going at a specific time. Instantaneous velocity is the slope of the tangent line on a position vs. time graph.
Interpret The Graph Below:
Pos
ition
Interpret The Graph Below:
The graph shows an object which is not moving (at rest).
The distance stays the same as time goes by because it is not moving.
Pos
ition
Interpret The Graph Below:
Pos
ition
Interpret The Graph Below:
The graph showsthat the objects distance increases as time passes.The object is moving and so it has velocity.
The straight line shows it is a constant (not changing).
Pos
ition
Interpret The Graph Below:
Pos
ition
Interpret The Graph Below:
Just like the previous graph, this graph shows an object moving with constant velocity
Pos
ition
Interpret The Graph Below:
Pos
ition
Interpret The Graph Below:
In the first part of the graph the object is moving with constant velocity.
In the second part of the graph the object is at rest (not moving).
In the third part the object is again moving with constant velocity.
Pos
ition
What is Acceleration?
Describe Acceleration
• A change in velocity – which may be:– A change in speed
• Starting• Stopping• Speeding up• Slowing down
– A change in direction
More
Describing AccelerationNegative Acceleration describes an object
with a negative change in velocity over time. This could mean that the object is slowing down or that it is traveling in a negative direction.
Positive Acceleration describes an object that has a positive change in velocity over time. This could mean that an object is speeding up.
Interpret The Graph Below:
Pos
ition
Interpret The Graph Below:
The curve in the graph shows that the objects velocity is changing as time passes.
This is acceleration.
Pos
ition
Interpret The Graph Below:
Interpret The Graph Below:
The graph showsthat the objects velocity does not change as time passes.
It shows constant velocity.
Interpret The Graph Below:
Interpret The Graph Below:
The graph showsthat the objects velocity is increasing as time passes – it is accelerating.
The straight line shows that it is constant acceleration.
What would the acceleration vs. time graph look like?
Acc
eler
atio
n (m
/s2)
Relationships
The slope of a position vs. Time graph:
Velocity
The slope of a velocity vs. Time graph:
Acceleration
The area under a velocity vs. time graph:
Change in Displacement