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Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
Motion and vectors regents
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Motion and vectors regents

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  • 1. All physics quantities fall into one of twocategories:Scalar – a quantity that can be described with asingle number (size, magnitude). Ex. I drove 15 miles. This is the quantity known as distance
  • 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. Which person traveled the greatest distance?Which person had the greatest displacement?
  • 4. Vectors are represented by an arrow - the length represents the size or magnitude - the angle represents the direction
  • 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. I walk 3 blocks south, 4 blocks east and3 blocks north.a)What is my distance covered?b)What is my displacement?
  • 7. How does the displacement of a moving objectcompare to its distance covered? Displacement <= distance
  • 8. 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?
  • 9. Adding vectors – the parallelogram method also called the Tip to Tail Method
  • 10. Add two vectors:100 mi east50 mi at 45o north of eastFind the length and direction of theresultant using a ruler and protractor.
  • 11. Resultant = 145 +/- 5Direction = 15o
  • 12. A = 80 mi westB = 60 mi at 45o south of eastA+B=?Find the length and direction of theresultant using a ruler and protractor.
  • 13. Using the scaled vector process, find themagnitude and direction of thefollowing resultants: 1)50 m N + 30 m E + 40 m N2) 5 m E + 5 m northwest + 10 m S
  • 14. 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?
  • 15. Average speed = 60 mile/hourUnit for speed in SI system ismeters/secondConvert this speed to meters/second 1 mile = 1609 m 1 hour = 3600 s
  • 16. Instantaneous speed - speedometerIs speed a scalar or vector? ScalarVelocity - speed with a direction - vector
  • 17. 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!!!
  • 18. A horn is sounded and the echoreturns in 4 s. How far away isthe wall?
  • 19. Thrust SSC763 miles per hour
  • 20. Car 1 goes from 0 to 60 mph in 7 secondsCar 2 goes from 0 to 60 mph in 3 secondsWhich car is faster?Acceleration - the rate of change of velocity =?
  • 21. = v f - vi v f – final velocity vi - initial velocity Car 2 vi = 0 vf = 27 m/s The SI unit for t=3s acceleration is m/s2
  • 22. Constant speed or velocity “cruise control” a=0An airplane slows from 200 m/s to 50m/s in 12 seconds. What is itsacceleration?
  • 23. An airplane accelerates from a standingstart at 2.5 m/s2. After 7 s,a)How fast is it moving?b)How far has it travelled?

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