Speed Measuring motion.

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Presentation transcript:

Speed Measuring motion

S = d/t Calculating Speed Speed (S) = distance traveled (d) / the amount of time it took (t). S = d/t

Units for speed Depends, but will always be a distance unit / a time unit Ex. Cars: mi./h Jets: km/h Snails: cm/s Falling objects: m/s

S = d/t Calculating speed If I travel 100 kilometer in one hour then I have a speed of… 100 km/h If I travel 1 meter in 1 second then I have a speed of…. 1 m/s

Question I travelled 25 km in 10 minutes. What is my speed? A) 25000 km/min B) 250 km/min C) .025 km/min D) 2.5 km/min

Average speed = total distance traveled/total time it took. Speed is usually NOT CONSTANT Ex. Cars stop and go regularly Runners go slower uphill than downhill Average speed = total distance traveled/total time it took.

Calculating Average Speed It took me 1 hour to go 40 km on the highway. Then it took me 2 more hours to go 20 km using the streets. Total Distance: 40 km + 20 km = 60 km Total Time: 1 h + 2 h = 3 hr Avg. Speed: total d/total t = 60 km/3 h = 20 km/h

Question I ran 1000 m in 3 minutes. Then ran another 1000 m uphill in 7 minutes. What is my average speed? A) 100 m/min B) 2000 m/min C) 10 m/min D) 200 m/min E) 20 m/min Total Dist. = 1000 m + 1000 m = 2000 m Total Time = 3 min + 7 min = 10 min Avg speed = total dist/total time = 2000m/10 min = 200 m/min = D

Graphing Speed: Distance vs. Time Graphs Denver Phoenix

Graphing Speed: Distance vs. Time Graphs Speed = Slope = Rise/Run Rise

Graphing Speed: Distance vs. Time Graphs Speed = Slope = Rise/Run Rise=? 600 km 3 h

Graphing Speed: Distance vs. Time Graphs Speed = Slope = Rise/Run Rise=? 600 km 3 h Rise/Run = 600 km/3 hr = 200 km/hr

Different Slopes Slope = Rise/Run = 0 km/1 hr = 0 km/hr Rise = 2 km Run = 1 hr Rise = 0 km Run = 1 hr Slope = Rise/Run = 2 km/1 hr = 2 km/hr Rise = 1 km Run = 1 hr Slope = Rise/Run = 1 km/1 hr = 1 km/hr

Average Speed = Total distance/Total time = 12 km/6 hr Question Below is a distance vs. time graph of my position during a race. What was my AVERAGE speed for the entire race? Average Speed = Total distance/Total time = 12 km/6 hr = 2 km/hr Rise = 12 km Run = 6 hr

Question What does the slope of a distance vs. time graph show you about the motion of an object? It tells you the SPEED

Question Below is a distance vs. time graph for 3 runners. Who is the fastest? Leroy is the fastest. He completed the race in 3 hours