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Distance vs Displacement
5 meters east in 2 seconds 3 meters south in 1 second The total distance d traveled is The total displacement d is Speed = d / t = v Velocity= d / t = v
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Vector mathematics is different than scalar mathematics
Scalars are just numbers and can be added with regular math. They add up to a sum. Vectors have direction and must be drawn to scale and connected head-to-tail. They add up to a resultant. HEAD Tail Start Finish
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2 miles 3 miles 4 miles Road runner travels 5 miles before Marvin sends him back. Road runner takes a shortcut back that saves him a mile. If the whole round trip took 1 hour, what is roadrunner’s a) speed? b) displacement ?
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Practice; 1. A runner runs 500 meters due east and 1000 meters due south. Find the distance and displacement 2. A plane travels 3000 miles from California to New York in 5 hours, stays in NY 1 hour to refuel, then flies back again. Find the average speed and average velocity for the round trip flight .
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When direction changes,
average velocity = average speed Ex; Wilbert drives 2.0 km east in 15 minutes to make a delivery. He then goes 3.0 km west in 20 minutes to make a delivery to the other side of town. Find Wilberts’ a) average speed b) average velocity During his 35 minutes of travel
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