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Motion
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Definition Motion is a change in an object’s position relative to a reference point.
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Motion is Relative Relative – it is described compared to a REFERENCE POINT Example: As a car drives away from school its position is changing relative to school.
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Describing motion We describe motion in words, with graphs and using mathematical quantities. The mathematical quantities we use to describe motion are distance, time, speed, velocity and acceleration.
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Describing motion These mathematical quantities have certain SI units.
Quantity Unit Distance Meter Time Second Speed/Velocity Meter per Second Acceleration Meter per second squared
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Speed: We are concerned with 3 different types of speed.
Speed is the rate of change in position. We will talk about average speed, instantaneous speed, and constant speed.
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Speed: Average Speed Total distance traveled divided by the time interval during which the motion occurred. s= d / t t = d / s d = s x t Example: If you travel 200 miles In 4 hours, your average speed is 50 mph.
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Speed Instantaneous Speed
Speed at any instant Example: In your trip, you might be going 60 mph one moment and Slowing down and stopping for a break a few moments later.
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Speed Constant Speed Speed that does not change
Instantaneous speed that does not change When an object has a constant speed, its average speed and instantaneous speed will be the same.
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Velocity Speed AND direction
This is important for a full description of motion Pilots need to know wind speed and direction. Calculations of velocity are different than speed. v= change in position / time
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Velocity: Direction matters
Imagine that two birds leave the nest at the same time. The both fly at 10 km/h for 5 min, 12 km/h for 8 min, and 5 km/h for 10 min. Why don’t they end up at the same place?
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A swimmer swims 50 m in 40 s. What is the swimmer’s average speed?
Problem A swimmer swims 50 m in 40 s. What is the swimmer’s average speed?
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A swimmer swims 20 m in 40 s. What is the swimmer’s average speed?
S = D/T S = 50m/40s S = 1.25m/s
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Problem What is the average speed (mph) for a car journey of 120 miles that began at 09:30am and finished at 12:00 noon?
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Problem What is the average speed (mph) for a car journey of 120 miles that began at 09:30 and finished at 12:00 noon? S = D/T D = 120 T = 2.5 hours (from 9:30 – 12:00) S = 120m / 2.5h S = 48 mph
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How far does a bicycle travel at a speed of 6 m/s for 15 seconds?
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How far does a bicycle travel at a speed of 6 m/s for 15 seconds?
s=d/t 6m/s = d/15s 15s (6m/s) = d/15s (15s) 90 m = d
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