Warm-up Get your green folder Open to notebook paper and label it “ Speed and Motion Notes” Make sure your have something to write with Write the formula for speed at the top of your new page If you are out of paper add three more pages of notebook paper to your brads Objective 6.8- Changes in Force and Motion •Calculate average speed using distance and time measurements Speed and Motion Measuring Motion Notes Directions As you go through the PowerPoint take notes. Be sure to include the subtitles for each different section so your notes are organized and understandable. Only copy “Question” slides if you feel they will be helpful to you as review. Measuring Distance How you measure distance will depend on what you are doing. Meter – international unit for measuring distance. 1. 2. 3. 4. 1 mm km – long distances m – medium distances cm – small length mm – tiny length = 50 m Measuring Time The time used will also depend on what you are doing. Driving is usually hours (hr) Walking is minutes (m) Racing could be in seconds (s) Calculating Speed divide the distance by the time to figure out how far you traveled in a single unit of time. Speed = Distance Time Speed (S) = distance traveled (d) the amount of time it took (t). S = d/t What is speed? When you calculate average speed, you are figuring out how far you go for ONE unit of time (1 second; 1 minute; 1 hour). 50 km 10 km If travel 10 km/hr that means it takes you ONE HOUR to go TEN km. Units for speed The units depend, but will always be a distance unit over a time unit Ex. Cars: mi./h (miles per hour) Jets: km/h (kilometers per hour) Snails: cm/s (centimeters per second) Falling objects: m/s (meters per second) Calculating speed S = d/t 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 Average speed 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: Total Time: 40 km + 20 km = 60 km 1 h + 2 h = 3 hr Ave. Speed: total d/total t = 60 km/3 h = 20 km/h Total _ Dist . Ave. _ Speed Total _ time 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 TotalDist. = 1000 m + 1000 m = 2000 m B) 2000 m/min TotalTime 3 min + 7 min = 10 min C) 10=m/min D) 200 m/min Ave speed = total dist/total time = E) 20 m/min 2000m/10 min = 200 m/min = D Graphing Speed: Distance vs. Time Graphs Denver Phoenix Distance (km) Different Slopes 8 7 6 5 4 3 2 1 0 Slope = Rise/Run = 1 km/1 hr = 1 km/hr Slope = Rise/Run = 0 km/1 hr = 0 km/hr Rise = 2 km Rise = 0 km Run = 1 hr Run = 1 hr Slope = Rise/Run = 2 km/1 hr = 2 km/hr Rise = 1 km Run = 1 hr 1 2 3 4 Time (hr) 5 6 7 Graphing Motion: Speed vs. Time Graphs 14 Speed (m/s) 12 10 8 6 4 2 0 0 1 2 3 4 5 6 Time (s) 1)Speed is increasing with time = accelerating 2)Line is straight = acceleration is constant Graphing Motion: Distance vs. Time Graphs 35 Distance (m) 30 25 20 15 10 5 0 0 1 2 3 4 5 Time (s) 1)On Distance vs. Time graphs a curved line means the object is accelerating. 2)Curved line also means your speed is increasing. Remember slope = speed. Question: 35 Distance (m) 30 25 20 15 10 5 0 0 1 2 3 4 5 Time (s) The black and red lines represent a objects that are accelerating. Black is going a greater distance each second, so it must be speeding up. Red is going less each second, so 1)Which line represents an object that is must be slowing down accelerating? Remember: in distance vs. time graphs: curved line = accelerating, flat line = constant speed