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Monday, 9/27/15
OBJECTIVE: SWBATDifferentiate between speed and velocity and
distance and displacement.
Essential Question:How can we describe an object’s motion?
Topic:Linear Motion
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“Physics is the natural science that involves the study of matter and its motion through space and time”
–Motion happens all around us:Cars, people, soccer balls, etc.
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What is motion?
Motion- change of the position of an object with respect to time
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DistanceDistance (d) – how far an object travels.
– Does not depend on direction.• Imagine an ant crawling along a ruler.
• What distance did the ant travel?– d = 3 cm
cm0 1 2 3 4 5 6 7 8 9 10
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Distance: EXAMPLE
• Distance does not depend on direction.• Let’s follow the ant again.
• What distance did the ant walk this time?• d = 7 cm
cm0 1 2 3 4 5 6 7 8 9 10
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Displacement• Displacement– difference between an object’s
final position and its starting position.– DOES depend on direction.
Displacement = final position – initial position• In order to define displacement, we need directions.
Examples of directions:– + and –– N, S, E, W– Angles
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cm0 1 2 3 4 5 6 7 8 9 10
+-
Displacement: EXAMPLE• Let’s revisit our ant, and this time we’ll find his
displacement.
• Distance: 3 cm• Displacement: +3 cm
– The positive gives the ant a direction!
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Displacement: EXAMPLE
• Find the distance and displacement of the ant.
• Distance: 7 cm• Displacement: +3 cm
cm0 1 2 3 4 5 6 7 8 9 10
+-
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Check for Understanding: Displacement vs. Distance
• An athlete runs around a track that is 100 meters long three times, then stops.– What is the athlete’s distance and displacement?
• Distance = 300 m• Displacement = 0 m• Why?
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Speed
• Speed (s) – Rate at which an object is moving.speed = distance
times = d
t• Like distance, speed does not depend on
direction.
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Speed- EXAMPLE
• A car drives 100 meters in 5 seconds.
• What is the car’s average speed?– s = d/t– s = (100 m) / (5 s) = 20 m/s
100 m
1 s2 s3 s4 s5 s
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Check For Understanding: Speed
• A rocket is traveling at 10 km/s. How long does it take the rocket to travel 30 km?
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Velocity
• Velocity (v) – speed with direction.velocity = displacement
time
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Pulling It All Together
• Back to our ant explorer!
– Distance traveled: 7 cm– Displacement: +3 cm– Average speed: (7 cm) / (5 s) = 1.4 cm/s– Average velocity: (+3 cm) / (5 s) = +0.6 cm/s
cm0 1 2 3 4 5 6 7 8 9 10
+-1 s2 s3 s4 s5 s
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The GUESS MethodDuring football practice, Martin and Jesus run 2.7 miles eastward in 25 minutes. How fast were they running?GivenUnknownEquationSubstitute Solve
2.7 miles = d, 25 minutes = t
velocityv = d/t
v = 2.7 miles/25 minutes
v = 0.108 miles/min , Eastward
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Work it Out!
• Finish the 5 problems on the back of your C-Notes
• Check your work with your elbow partner
• You MUST use the GUESS method and show all of your work!! (you need to get in this habit)
• Pay attention to the units!!
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Tuesday: Under Construction…