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# Motion

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### Motion

1. 1. Things That Move Mechanics - The Study of Motion
2. 2. What is Motion? <ul><li>Motion = a change in position </li></ul><ul><ul><li>an eagle flies from its nest to a tree branch </li></ul></ul><ul><ul><li>a family drives from Portland to Seattle </li></ul></ul><ul><ul><li>elevators move from the lobby to 25 th floor </li></ul></ul>
3. 3. <ul><li>Reference point </li></ul><ul><ul><li>Change in position depends on an object that is referred to: </li></ul></ul><ul><ul><ul><li>red man is moving relative to ground but NOT relative to train car </li></ul></ul></ul>
4. 4. Displacement vs. Distance <ul><li>Distance : how far something moved </li></ul><ul><ul><li>8.2km + 1.8km + 4.5km = 14.5 kilometers </li></ul></ul><ul><li>Displacement : shortest distance between starting point and ending point </li></ul><ul><ul><li>2.7 km North *includes direction* </li></ul></ul><ul><li>Distance is a scalar measure </li></ul><ul><li>Displacement is a vector measure because it includes direction </li></ul>
5. 5. Speed <ul><li>Speed measures the rate at which a change in position occurs </li></ul>Speed = distance time Banana Slugs: 0.75 inches/hour Average Highway Speed: 65 mph Eye Blinks: 0.005 centimeter/millisecond Earth’s Orbit: 30 km/s Speed of Light: 700,000,000 meters/second
6. 6. Rates & Ratios <ul><li>What does 65 miles/hour mean? </li></ul><ul><ul><li> 65 miles </li></ul></ul><ul><ul><li> 1 hour </li></ul></ul><ul><li>What does 250 meters per 10 seconds mean? </li></ul><ul><li>250 meters = 25 meters/second </li></ul><ul><li>10 seconds </li></ul><ul><li>* The line in any fraction or ratio means DIVIDE! </li></ul>65 miles
7. 7. Speed <ul><li>Constant speed : speed remains the same for entire distance travelled </li></ul><ul><li>Instantaneous speed : speed at one given instant </li></ul><ul><li>Average speed : total distance/total time </li></ul><ul><ul><ul><ul><li>15 meters in 145 seconds = .1 m/s </li></ul></ul></ul></ul>1 meter in 5 seconds = .2 m/s 2 meters in 8 seconds = .25 m/s 1 meter in 10 seconds = .1 m/s 2 meters in 30 seconds = .07 m/s 3 meters in 17 seconds = .18 m/s 3 meters in 60 seconds = .05 m/s 3 meters in 15 seconds = .2 m/s
8. 8. Graphing Speed Time in Seconds Distance in Meters 1 meter in 5 seconds = .2 m/s 2 meters in 8 seconds = .25 m/s 1 meter in 10 seconds = .1 m/s 2 meters in 30 seconds = .07 m/s 3 meters in 17 seconds = .18 m/s 3 meters in 60 seconds = .05 m/s 3 meters in 15 seconds = .2 m/s Average speed = .1 m/s
9. 9. Slope Time in Seconds Distance in Meters
10. 10. Velocity <ul><li>Velocity = Speed + Direction </li></ul><ul><ul><li>A vector quantity </li></ul></ul><ul><ul><li>Speed : 32 m/s </li></ul></ul><ul><ul><li>Velocity : 32 m/s due North </li></ul></ul><ul><ul><li>Why does direction matter? </li></ul></ul>
11. 11. Transportation Quandary <ul><li>You must get from Kyoto to Nagano for watch the world figure skating championships. </li></ul><ul><ul><li>The Bullet Train travels East & West at speeds over 350 km/hr. </li></ul></ul><ul><ul><li>A personal tachikoma can go up to 85 km/hr in any direction. </li></ul></ul><ul><ul><li>Solar cell buses move North & South at 60 km/hr. </li></ul></ul><ul><ul><li>A hired Pivo taxi will take you 105 km/hr NE or 125 km/hr SW. </li></ul></ul><ul><li>Which mode of transportation should you take? </li></ul>