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# Ch3 – Metric Conversions

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1. Ch3 – Metric Conversions

2. Ch3 – Metric Conversions “King Henry David Usually drinks chocolate milk” Giga . . Mega . . Kilo HectaDeka Basic decicentimilli. .micro . .nano. .pico Units

3. “King Henry David Usually drinks chocolate milk” Giga . . Mega . . Kilo HectaDeka Basic decicentimilli. .micro . .nano. .pico Units (Meters) (Liters) (Grams) G . . M . . K H D U d c m . .μ. . n . . p

4. “King Henry David Usually drinks chocolate milk” Giga . . Mega . . Kilo HectaDeka Basic decicentimilli. .micro . .nano. .pico Units G . . M . . K H D U d c m . .μ. . n . . p Exs: 505 grams = __________ kilograms 90 cm = __________ m 2.05 L = __________ mL 75 km = __________ m 75 nm = __________ m 700 μm = __________ m

5. Describing Motion

6. Describing Motion Vectors – Scalars –

7. Describing Motion Vectors – describe things that have both magnitude and direction Use arrows to represent them. Scalars –

8. Describing Motion Vectors – describe things that have both magnitude and direction Use arrows to represent them. Scalars – have only magnitude

9. Describing Motion Vectors – describe things that have both magnitude and direction Use arrows to represent them. Scalars – have only magnitude Examples: 1. Speed (v) – vs. 2. Velocity ( ) –

10. Describing Motion Vectors – describe things that have both magnitude and direction Use arrows to represent them. Scalars – have only magnitude Examples: 1. Speed (v) – how fast something is going vs. 2. Velocity ( ) –

11. Describing Motion Vectors – describe things that have both magnitude and direction Use arrows to represent them. Scalars – have only magnitude Examples: 1. Speed (v) – how fast something is going vs. 2. Velocity ( ) – how fast its going in a particular direction

12. Describing Motion Vectors – describe things that have both magnitude and direction Use arrows to represent them. Scalars – have only magnitude Examples: 1. Speed (v) – how fast something is going vs. 2. Velocity ( ) – how fast its going in a particular direction 1. Distance (d) – vs. 2. Displacement ( ) –

13. Describing Motion Vectors – describe things that have both magnitude and direction Use arrows to represent them. Scalars – have only magnitude Examples: 1. Speed (v) – how fast something is going vs. 2. Velocity ( ) – how fast its going in a particular direction 1. Distance (d) – how far something moves vs. 2. Displacement ( ) –

14. Describing Motion Vectors – describe things that have both magnitude and direction Use arrows to represent them. Scalars – have only magnitude Examples: 1. Speed (v) – how fast something is going vs. 2. Velocity ( ) – how fast its going in a particular direction 1. Distance (d) – how far something moves vs. 2. Displacement ( ) – how far something moves in a particular direction. (Straight line distance)

15. Displacement = velocity . time d = v . t

16. Displacement = velocity . time d = v . t Measure velocity in: miles per hour (mph) Kilometers per hour (km/hr) Meters per second (m/s)

17. Displacement = velocity . time d = v . t Measure velocity in: miles per hour (mph) Kilometers per hour (km/hr) Meters per second (m/s) Ex: A car passes a sign that reads 40.1 km while traveling east thru a straight valley. 30 minutes later it passes a sign that reads 84.5 km. How fast was the car traveling? (Use m/s) Ch3 HW#1 1-3 + metric conversions

18. Ch3 HW#1 1. A desert tortoise covers 1.5 m in 45 sec. What is its speed? 2. A bicyclist travels 55 km in 1 hr 30 mins. Speed? 3. Car passes sign that reads 25.6 km traveling north. 1 hr 15 min later it passes a sign that reads 115.2 km. Speed? Metric Conv 1. 7 mm = _____ cm 5. 6.3 cm = _____ m 9. 7.2 μ = _____ cm 2. 8.1 mm = _____ m 6. 3.3 cm = _____ km 10. 1.2 km = _____ nm 8.2 mm = _____ km 7. 3.6 m = _____ km 11. 1.7 km = _____ cm 4. 7.5 cm = _____ mm 8. 5.2 pm = _____ mm

19. Ch3 HW#1 1. A desert tortoise covers 1.5 m in 45 sec. What is its speed? (d=vt) 2. A bicyclist travels 55 km in 1 hr 30 mins. Speed? 55 km = 55,000 m 1.5 hr 3600 sec 1 hr 3. Car passes sign that reads 25.6 km traveling north. 1 hr 15 min later it passes a sign that reads 115.2 km. Speed? d = 115.2 – 25.6 = 89.6 km = 89,600 m 1.25 hr 3600 sec 1 hr = 5400 sec = 4500 sec

20. Ch3 HW#1 1. A desert tortoise covers 1.5 m in 45 sec. What is its speed? (d=vt) 2. A bicyclist travels 55 km in 1 hr 30 mins. Speed? 55 km = 55,000 m 1.5 hr 3600 sec 1 hr 3. Car passes sign that reads 25.6 km traveling north. 1 hr 15 min later it passes a sign that reads 115.2 km. Speed? d = 115.2 – 25.6 = 89.6 km = 89,600 m 1.25 hr 3600 sec 1 hr = 5400 sec = 4500 sec

21. Ch3 HW#1 1. A desert tortoise covers 1.5 m in 45 sec. What is its speed? (d=vt) 2. A bicyclist travels 55 km in 1 hr 30 mins. Speed? 55 km = 55,000 m 1.5 hr 3600 sec 1 hr 3. Car passes sign that reads 25.6 km traveling north. 1 hr 15 min later it passes a sign that reads 115.2 km. Speed? d = 115.2 – 25.6 = 89.6 km = 89,600 m 1.25 hr 3600 sec 1 hr = 5400 sec = 4500 sec

22. Ch3 HW#1 Metric ConvG . . M . . KHDUdcm . . μ . . n . . p 1. 7 mm = ____ cm 2. 8.1 mm = ______ m 8.2 mm = ________ km 7.5 cm = ___mm 5. 6.3 cm = _______ m 6. 3.3 cm = ________ km 7. 3.6 m = _______km 8. 5.2 pm = ____________mm 9. 7.2 μm = _______ cm 10. 1.2 km = ______________nm 11. 1.7 km = ______ cm

23. Ch3 HW#1 Metric ConvG . . M . . KHDUdcm . . μ . . n . . p 1. 7 mm = 0.07 cm 2. 8.1 mm = 0.0081 m 8.2 mm = 0.0000082 km 7.5 cm = 75 mm 5. 6.3 cm = _______ m 6. 3.3 cm = ________ km 7. 3.6 m = _______km 8. 5.2 pm = ____________mm 9. 7.2 μm = _______ cm 10. 1.2 km = ______________nm 11. 1.7 km = ______ cm

24. Ch3 HW#1 Metric ConvG . . M . . KHDUdcm . . μ . . n . . p 1. 7 mm = 0.07 cm 2. 8.1 mm = 0.0081 m 8.2 mm = 0.0000082 km 7.5 cm = 75 mm 5. 6.3 cm = 0.063 m 6. 3.3 cm = 0.000033 km 7. 3.6 m = 0.0036 km 8. 5.2 pm = 0.000 000 0052 mm 9. 7.2 μm = _______ cm 10. 1.2 km = ______________nm 11. 1.7 km = ______ cm

25. Ch3 HW#1 Metric ConvG . . M . . KHDUdcm . . μ . . n . . p 1. 7 mm = 0.07 cm 2. 8.1 mm = 0.0081 m 8.2 mm = 0.0000082 km 7.5 cm = 75 mm 5. 6.3 cm = 0.063 m 6. 3.3 cm = 0.000033 km 7. 3.6 m = 0.0036 km 8. 5.2 pm = 0.000 000 0052 mm 9. 7.2 μm = 0.00072 cm 10. 1.2 km = 12,000,000,000,000 nm 11. 1.7 km = 170,000 cm

26. Ch3.3 Velocity and Acceleration Velocity – speed in a specific direction

27. Ch3.3 Velocity and Acceleration Velocity – speed in a specific direction Average velocity – since speed can vary in most cases, use average speed. - easiest method is finding total distance divided by total time

28. Ch3.3 Velocity and Acceleration Velocity – speed in a specific direction Average velocity – since speed can vary in most cases, use average speed. - easiest method is finding total distance divided by total time

29. Ch3.3 Velocity and Acceleration Velocity – speed in a specific direction Average velocity – since speed can vary in most cases, use average speed. - easiest method is finding total distance divided by total time Instantaneous velocity – speed and direction at that moment (GPS and speedometer in your car)

30. Ch3.3 Velocity and Acceleration Velocity – speed in a specific direction Average velocity – since speed can vary in most cases, use average speed. - easiest method is finding total distance divided by total time Instantaneous velocity – speed and direction at that moment (GPS and speedometer in your car) Ex1) Standing on a roof 100m above the ground, a kid drops a water balloon 4.5s it hits the ground. What was the average speed?

31. Ex2) Hair grows at an average rate of 3x10-9 m/s. Find the length after one year.

32. Ex2) Hair grows at an average rate of 3x10-9 m/s. Find the length after one year. d = v.t = (3x10-9m/s)(3.2x107s) = 0.09m (9 cm) What if the hair was already 10cm long before the year started, how long would it be a year later?

33. To find distance when not starting at zero: df = di + v.t Ex3) A car passes a sign that reads 213.8km. If the cruise control is set at 88km/hr, what does a sign read ½ hour later?

34. Acceleration – a measure of the change in velocity speeding up: a = (+) slowing down: a = (–) Ex4) Set up only: A driver traveling at 25m/s slows at a constant rate of 8.5m/s2. What is the total distance the car moves before stopping? Ch3 HW#2 4 – 8

35. Lab3.1 – Motion - due tomorrow - go over Ch3 HW#2 @ beginning of period

36. Ch3 HW#2 4 – 8 (Set up, no solve, except 8) 4. A dragster starting from rest accelerates at 49 m/s2. How fast is it going when it has traveled 325m? 5. The same dragster reaches the end of the drag strip rolling at 100km/hr, when it opens its parachute. It rolls to a stop in 150m. How much time does it take to come to a stop?

37. 6. A ball is thrown upward at 25m/s. Gravity slows it at 10m/s2. What height does it reach? 7. A ball is hit and then slowly comes to a stop in 5 sec. Draw. When is it going fastest? What is its final speed? Is its accl +/-?

38. 8. Solve: Enter a toll road at 1pm. After traveling 55km, the ticket is stamped 2:30pm. What was the average speed. At any time could it have been going faster than the average? Why speed not velocity?

39. Ch 4 - Vectors Have magnitude (length) and point in a direction

40. Ch 4 - Vectors Have magnitude (length) and point in a direction Ex1) Draw vectors representing velocities: 15 m/s North 10 m/s East

43. Vectors can be added together, called vector addition - Graphically, place them head to tail - Mathematically, vector addition means 3 possibilities:

44. Vectors can be added together, called vector addition - Graphically, place them head to tail - Mathematically, vector addition means 3 possibilities: 1. Point same direction: Add 2. Point opposite directions: Subtract 3. Point perpendicular: Pythag

45. Ex2) Vector Addition: a) 2 km east and 1 km east b) 3 km east and 2 km west c) 3 km north and 4 km east

46. Ex2) Vector Addition: a) 2 km east and 1 km east (Red is the resultant vector) b) 3 km east and 2 km west (Red is the resultant vector) c) 3 km north and 4 km east (Red is the resultant vector) --The order you add vectors doesn’t matter 2km 1km 2 + 1 = 3 km 3km 1km 2km 3 – 2 = 1 4km 3km 5 km

47. HW#2) A shopper walks from the door of the mall to her car 250 m down • a lane of cars, then turns 90° to the right and walks an additional 60 m. • What is themagnitude of thedisplacement of her car from the mall door?

48. HW#2) A shopper walks from the door of the mall to her car 250 m down • a lane of cars, then turns 90° to the right and walks an additional 60 m. • What is the magnitude of the displacement of her car from the mall door? 60 d = √ 250 2502+602 = 257m Mall

49. 3. A boat is rowed South at 3 m/s down a river that flows South at 5 m/s. What speed does an observer from shore see the boat moving? -A boat is rowed North at 3 m/s up a river that flows South at 5 m/s. What speed does an observer from shore see the boat moving? -A boat is rowed East at 3 m/s across a river that flows South at 5 m/s. What speed does an observer from shore see the boat moving?

50. 3. A boat is rowed South at 3 m/s down a river that flows South at 5 m/s. What speed does an observer from shore see the boat moving? -A boat is rowed North at 3 m/s up a river that flows South at 5 m/s. What speed does an observer from shore see the boat moving? -A boat is rowed East at 3 m/s across a river that flows South at 5 m/s. What speed does an observer from shore see the boat moving? 3m/s 8m/s 5m/a