Displacement vs Distance Distance l Distance d how
![Displacement vs. Distance Displacement vs. Distance](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-1.jpg)
![Distance l Distance (d) – how far an object travels. l Does l 0 Distance l Distance (d) – how far an object travels. l Does l 0](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-2.jpg)
![Distance does not depend on direction. l Here’s our intrepid ant explorer again. l Distance does not depend on direction. l Here’s our intrepid ant explorer again. l](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-3.jpg)
![Distance l l 0 cm l l Distance does not depend on direction. Let’s Distance l l 0 cm l l Distance does not depend on direction. Let’s](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-4.jpg)
![Displacement l Displacement ( x) – difference between an object’s final position and its Displacement l Displacement ( x) – difference between an object’s final position and its](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-5.jpg)
![Displacement vs. Distance l Example of distance: l The l Example of displacement: l Displacement vs. Distance l Example of distance: l The l Example of displacement: l](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-6.jpg)
![Displacement l Let’s revisit our ant, and this time we’ll find his displacement. - Displacement l Let’s revisit our ant, and this time we’ll find his displacement. -](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-7.jpg)
![Displacement l Find the ant’s displacement again. l Remember, displacement has direction! - + Displacement l Find the ant’s displacement again. l Remember, displacement has direction! - +](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-8.jpg)
![Displacement l Find the distance and displacement of the ant. - + 0 cm Displacement l Find the distance and displacement of the ant. - + 0 cm](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-9.jpg)
![Displacement vs. Distance l An athlete runs around a track that is 100 meters Displacement vs. Distance l An athlete runs around a track that is 100 meters](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-10.jpg)
![Speed (s) – Rate at which an object is moving. l speed = distance Speed (s) – Rate at which an object is moving. l speed = distance](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-11.jpg)
![Speed l A car drives 100 meters in 5 seconds. 1 s 2 3 Speed l A car drives 100 meters in 5 seconds. 1 s 2 3](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-12.jpg)
![Speed l A rocket is traveling at 10 km/s. How long does it take Speed l A rocket is traveling at 10 km/s. How long does it take](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-13.jpg)
![Speed l A racecar is traveling at 85. 0 m/s. How far does the Speed l A racecar is traveling at 85. 0 m/s. How far does the](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-14.jpg)
![Velocity (v) – speed with direction. l velocity = displacement / time l v Velocity (v) – speed with direction. l velocity = displacement / time l v](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-15.jpg)
![Pulling It All Together l Back to our ant explorer! - + 1 s Pulling It All Together l Back to our ant explorer! - + 1 s](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-16.jpg)
![Scalar and Vector Quantities l Scalar Quantity – has magnitude but not direction. l Scalar and Vector Quantities l Scalar Quantity – has magnitude but not direction. l](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-17.jpg)
- Slides: 17
![Displacement vs Distance Displacement vs. Distance](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-1.jpg)
Displacement vs. Distance
![Distance l Distance d how far an object travels l Does l 0 Distance l Distance (d) – how far an object travels. l Does l 0](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-2.jpg)
Distance l Distance (d) – how far an object travels. l Does l 0 cm l not depend on direction. Imagine an ant crawling along a ruler. 1 2 3 4 5 6 7 8 What distance did the ant travel? ld = 3 cm 9 10
![Distance does not depend on direction l Heres our intrepid ant explorer again l Distance does not depend on direction. l Here’s our intrepid ant explorer again. l](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-3.jpg)
Distance does not depend on direction. l Here’s our intrepid ant explorer again. l 0 cm l 1 3 4 5 6 7 8 9 Now what distance did the ant travel? ld l 2 = 3 cm Does his direction change the answer? 10
![Distance l l 0 cm l l Distance does not depend on direction Lets Distance l l 0 cm l l Distance does not depend on direction. Let’s](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-4.jpg)
Distance l l 0 cm l l Distance does not depend on direction. Let’s follow the ant again. 1 2 3 4 5 6 7 8 9 What distance did the ant walk this time? d = 7 cm 10
![Displacement l Displacement x difference between an objects final position and its Displacement l Displacement ( x) – difference between an object’s final position and its](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-5.jpg)
Displacement l Displacement ( x) – difference between an object’s final position and its starting position. l l l Does depend on direction. Displacement = final position – initial position x = xfinal – xinitial In order to define displacement, we need directions. Examples of directions: l l l + and – N, S, E, W Angles
![Displacement vs Distance l Example of distance l The l Example of displacement l Displacement vs. Distance l Example of distance: l The l Example of displacement: l](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-6.jpg)
Displacement vs. Distance l Example of distance: l The l Example of displacement: l The l ant walked 3 cm EAST. An object’s distance traveled and its displacement aren’t always the same!
![Displacement l Lets revisit our ant and this time well find his displacement Displacement l Let’s revisit our ant, and this time we’ll find his displacement. -](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-7.jpg)
Displacement l Let’s revisit our ant, and this time we’ll find his displacement. - + 0 cm 1 2 3 4 5 6 7 8 Distance: 3 cm l Displacement: +3 cm l l The positive gives the ant a direction! 9 10
![Displacement l Find the ants displacement again l Remember displacement has direction Displacement l Find the ant’s displacement again. l Remember, displacement has direction! - +](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-8.jpg)
Displacement l Find the ant’s displacement again. l Remember, displacement has direction! - + 0 cm 1 2 3 4 5 Distance: 3 cm l Displacement: -3 cm l 6 7 8 9 10
![Displacement l Find the distance and displacement of the ant 0 cm Displacement l Find the distance and displacement of the ant. - + 0 cm](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-9.jpg)
Displacement l Find the distance and displacement of the ant. - + 0 cm 1 2 3 4 5 Distance: 7 cm l Displacement: +3 cm l 6 7 8 9 10
![Displacement vs Distance l An athlete runs around a track that is 100 meters Displacement vs. Distance l An athlete runs around a track that is 100 meters](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-10.jpg)
Displacement vs. Distance l An athlete runs around a track that is 100 meters long three times, then stops. l What is the athlete’s distance and displacement? l l l Distance = 300 m Displacement = 0 m Why?
![Speed s Rate at which an object is moving l speed distance Speed (s) – Rate at which an object is moving. l speed = distance](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-11.jpg)
Speed (s) – Rate at which an object is moving. l speed = distance / time l s = d/t l Like distance, speed does not depend on direction. l
![Speed l A car drives 100 meters in 5 seconds 1 s 2 3 Speed l A car drives 100 meters in 5 seconds. 1 s 2 3](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-12.jpg)
Speed l A car drives 100 meters in 5 seconds. 1 s 2 3 4 5 100 m l What is the car’s average speed? ls = d/t l s = (100 m) / (5 s) = 20 m/s
![Speed l A rocket is traveling at 10 kms How long does it take Speed l A rocket is traveling at 10 km/s. How long does it take](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-13.jpg)
Speed l A rocket is traveling at 10 km/s. How long does it take the rocket to travel 30 km?
![Speed l A racecar is traveling at 85 0 ms How far does the Speed l A racecar is traveling at 85. 0 m/s. How far does the](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-14.jpg)
Speed l A racecar is traveling at 85. 0 m/s. How far does the car travel in 30. 0 s?
![Velocity v speed with direction l velocity displacement time l v Velocity (v) – speed with direction. l velocity = displacement / time l v](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-15.jpg)
Velocity (v) – speed with direction. l velocity = displacement / time l v = x / t l
![Pulling It All Together l Back to our ant explorer 1 s Pulling It All Together l Back to our ant explorer! - + 1 s](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-16.jpg)
Pulling It All Together l Back to our ant explorer! - + 1 s 2 3 4 5 0 cm 1 2 l Distance 3 4 5 6 7 8 9 10 traveled: 7 cm l Displacement: +3 cm l Average speed: (7 cm) / (5 s) = 1. 4 cm/s l Average velocity: (+3 cm) / (5 s) = +0. 6 cm/s
![Scalar and Vector Quantities l Scalar Quantity has magnitude but not direction l Scalar and Vector Quantities l Scalar Quantity – has magnitude but not direction. l](https://slidetodoc.com/presentation_image/42a191300434abf729dd148fd0160cf9/image-17.jpg)
Scalar and Vector Quantities l Scalar Quantity – has magnitude but not direction. l Distance l and speed are scalar quantities. Vector Quantity – has magnitude and direction. l Displacement quantities. and velocity are vector
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