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What we already know… The length between two points can be measured using either: Distance Or Displacement For objects moving that do NOT change direction Distance = Displacement © 2014, Simplify Science Select LLC
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© 2014, Simplify Science Select LLC
How Fast is Too Fast?
The way to catch a knuckleball is to wait until
it stops rolling and then pick it up.
- Bob Uecker
© 2014, Simplify Science Select LLC
Learning GoalsStudents will be able to: 1) Create and interpret a
distance v. time graph.
2) Use the equation:
© 2014, Simplify Science Select LLC
What we already know…The length between two points can be measured using either:
DistanceOr
Displacement
For objects moving that do NOT change direction
Distance = Displacement
© 2014, Simplify Science Select LLC
What we learned in the lab…
Time is usually the independent variable.
Distance is the dependent variable.
The slope of a distance v. time graph gives speed
© 2014, Simplify Science Select LLC
Timemeasures the interval between events
measured with a photogate or a stopwatch
nearly always the independent variable
© 2014, Simplify Science Select LLC
Displacement (∆d) v. Distance (d)
Distance – scalar measuring the total length traveled between two points
Displacement – vector measuring the change in position between two points
Both are measurements of length measured in meters
Start Stop
© 2014, Simplify Science Select LLC
Identify Variables Step #1Identify the Independent Variable AND Units The IV is the variable you change.
Identify the Dependent Variable AND Units
The DV is the variable that depends on you changing the IV
© 2014, Simplify Science Select LLC
Title the Graph Step #2Title the graph using the following convention:
Dep Var v. Ind Variable for __________ Investigation
Distance v. Time for Walking Investigation
© 2014, Simplify Science Select LLC
Scale the Graph Step #3Identify the MAXIMUM
and MINIMUM measurements
Count how many boxes you have on each axis (20)
MAX – MIN / # of boxes
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Plot the Points Step #4
Put all of the data points on the graph.
Do NOT forget your scale
© 2014, Simplify Science Select LLC
Draw the Line Step #5
Draw 1 STRAIGHT line that goes through an average
of the point
Do NOT connect the dots!
© 2014, Simplify Science Select LLC
Find the Slope Step #6Look at the line NOT your
data points!
Pick two points that are easy to read
Calculate the Rise/Run for those two points
© 2014, Simplify Science Select LLC
Find the Meaning of the Slope Step #7
Calculating the slope is not for fun.
The slope has to have meaning.
Rise (Distance) = Speed Run (Time)
© 2014, Simplify Science Select LLC
Developing A-1A student investigates the relationship between distance a toy car and time it is allowed to roll along the floor. What would be an appropriate title for the graph?
© 2014, Simplify Science Select LLC
Proficient A-2
Determine the average speed of the objects based on the graph.
0 2 4 6 8 10 120
2
4
6
8
10
12
Distance v. Time
Dist
ance
(m)
Time (s)
© 2014, Simplify Science Select LLC
Proficient A-3How far will the car be at ‘b’ seconds?
© 2014, Simplify Science Select LLC
Mastery A-4
Determine the average velocity between four and five seconds
0 1 2 3 4 5 60
5
10
15
20
25
30Position v. Time
Time (s)
Positi
on (m
)
© 2014, Simplify Science Select LLC
Mastery A-5What time interval will the object shown below be moving the fastest?
© 2014, Simplify Science Select LLC
Average Speed
The relationship between speed, distance and time can be seen in the equation:
Now you don’t have to graph every set of data to find the speed.
© 2014, Simplify Science Select LLC
Speed and VelocitySpeed is distance/time.
Velocity is displacement/time
Speed and velocity are the same UNLESS the object changes direction
© 2014, Simplify Science Select LLC
Average Speed Equation
Variable Name Definition SI Unit Measured
s Speed Rate of change in distance m/s RADAR/Photogate &
Rulerd distance Total length traveled m Meter stick
t time Interval between events s Photogate/stopwatch
© 2014, Simplify Science Select LLC
G.U.E.S.S MethodGiven – Information problem provides
Unknown – What you are solving for
Equation – Write the equation (no numbers)
Substitution – Put the numbers in the equation
Solution – Solve for the unknown
© 2014, Simplify Science Select LLC
Developing B-1Fill in the word and meaning for the acronym below:
G.U.E.S.S.
When do we use G.U.E.S.S?
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Developing B-2Match the units with the variable. Circle the units if they need to be converted.
d meters
Newtonss Amperes
minutest miles per hour
© 2014, Simplify Science Select LLC
Proficient B-3A car travels down a long straight 200 m road for 10 seconds. What is the average speed of the car down the road?
© 2014, Simplify Science Select LLC
Proficient B-4A student walking down the hall has five minutes to
walk 150 m to their next class. What is the minimum average speed the student can have and make it to
class? (Answer in STANDARD units)
© 2014, Simplify Science Select LLC
Mastery B-5 You wake up late for school one morning and walk out the door at 8:36 AM. You travel at an average of 60 kilometers per hour for the 11 km trip. If school starts at 8:45 AM will you be on time?