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# Motion and vectors regents

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### Motion and vectors regents

1. 1. All physics quantities fall into one of two categories:Scalar – a quantity that can be described with a singlenumber (size, magnitude). Ex. I drove 15 miles. This is the quantity known as distance
2. 2. Vector – a quantity that includes a number and adirection. Ex – I drove 10 miles south. This quantity is known as displacementDisplacement can be defined two ways 1) distance traveled in a particular direction 2) final location relative to a starting point
3. 3. Which person traveled the greatest distance?Which person had the greatest displacement?
4. 4. Vectors are represented by an arrow - the length represents the size or magnitude - the angle represents the direction
5. 5. Vector AdditionResultant: the term given for the final sum vector whenadding 2 or more vectors together Question: 4 cm + 5 cm = ? WRONG!!! 4 cm north + 5 cm north = ? 9 cm north 4 cm north + 5 cm south = ? 1 cm south
6. 6. I walk 3 blocks south, 4 blocks east and3 blocks north.a)What is my distance convered?b)What is my displacement?
7. 7. A duck walks 60 m north and then 40 meast. Using a scale of 1 cm = 10 m, drawthe displacement vectors of the duck.What is the resultant displacement?What is the angle between the resultantand north?
8. 8. Adding vectors – the parallelogram method
9. 9. Add two vectors:100 mi east50 mi at 45o north of eastFind the length and direction of theresultant using a ruler and protractor.
10. 10. Resultant = 145 +/- 5Direction = 15o
11. 11. A = 80 mi westB = 60 mi at 45o south of eastA+B=?Find the length and direction of theresultant using a ruler and protractor.
12. 12. How does the displacement of a moving objectcompare to its distance covered? Displacement <= distance
13. 13. Speed – a measure of how fast something moves - the rate at which distance is coveredYou drive 180 miles in 3 hours. What is youraverage speed?
14. 14. Average speed = 60 mile/hourUnit for speed in SI system is meters/secondConvert this speed to meters/second 1 mile = 1609 m 1 hour = 3600 s
15. 15. Instantaneous speed - speedometerIs speed a scalar or vector?Velocity - speed with a direction - vector
16. 16. A baseball is thrown at 90 mi/hr. How longdoes it take to travel the 60.5 ft from thepitcher’s mound to home plate? (3.3 ft = 1 m)v = 40 m/sd = 18.3 mt = 0.46 sImpossible!!!