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MOTION Slide 2 Speed Slide 3 Distance/time graphs
Slide 4 Speed Questions Slide 5 Acceleration Slide 6 Speed/time graphs Slide 8 Acceleration Questions
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s-1 means “divided by seconds”
SPEED Speed is the distance that an object travels in a period of time. d t v The standard units are meters and seconds (and therefore meters per second). However, sometimes km/hr is more sensible. Distance (m, km) Time (s, hr) Meters per second = ms = m/s =ms-1 Speed (m/s, km/hr) s-1 means “divided by seconds” (a.k.a. velocity) A cyclist travels 25 km in ½ an hour. What is their speed - in kmhr-1 - in ms-1 = 25km/0.5hr = 50km/hr = 25000m/1800s = 13m/s
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DISTANCE/TIME GRAPHS A car takes 1.5 minutes to travel 500m down a busy road. It stops at lights for 30 seconds, then continues on for 1 minute as it goes another 1km. Plot this on a distance/time graph. Distance (km) 0.5 1 1.5 Δd = 1km Steepest section is fastest Using the distance/time graph: What is the total distance traveled? 2. In what part of the trip is the car going the fastest? 3. What is the fastest speed? = 1.5 km Δt = 1min = part 3 Time (min) 1 2 3 v = Δd / Δt v = 1km/1min v = 1000m/60s v = 16 In a distance/time graph the slope of the line = the speed of the object.
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SPEED QUESTIONS What would these look like on a distance/time graph?
1. stopped 2. slow 3. fast 4. accelerating Lab Manual pg 190/1
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change in velocity (m/s)
ACCELERATION Acceleration is the change in speed in an object in a period of time. Δ v a Δ t change in velocity (m/s) Where do the units come from? a = v t a = m/s s a = m/s/s =m/s2 = ms-2 acceleration (m/s/s) change in time (s) It takes a cyclist 20 seconds to go from a standing start to 14m/s. What is their acceleration? What is 14m/s in km/hr? a = Δv/Δt a = 14m/s / 20s a = 0.7ms-2 = 14 × 60s × 60min 1000m = 50.4km/hr
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SPEED/TIME GRAPHS A runner travels at 4m/s for 10 seconds, then stops suddenly for 5 seconds, then accelerates for 5 seconds to get to 8m/s and continues for 10 seconds. Plot this on a speed/time graph. In a speed/time graph the slope of the line = the acceleration of the object. Speed (m/s) 4 8 Using the speed/time graph: In what part of the trip is the runner going the fastest? What is the acceleration in part 4? = part 5 Time (sec) 10 20 30 a = Δv/Δt a = 8m/s/5s a = 1.6ms-2 In a speed/time graph the distance covered = the area under the graph.
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SPEED/TIME GRAPHS Using the speed/time graph:
3. What distance is covered in part 1? 4. What is the total distance covered? Speed (m/s) 4 8 d = v × t d = 4m/s × 10s d = 40 m Part 1 = 40m Part 2 = 0m Part 3 = 0m Part 5 = v × t = 8m/s × 10 s = 80m Part 4 = v × t × = 8m/s × 5s × = 20m Total = =140m Time (sec) 10 20 30
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ACCELERATION QUESTIONS
What would these look like on a speed/time graph? 1. stopped 2. slow 3. fast 4. accelerating Lab Manual pg 192/3, 212/3
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