Do Now: 1. Walk in silently. Due Next Class: Derby Car Supplies Due On CA Day: Unit 1 and 2 Review (quiz grade)

Transcription

1 Do Now: 1. Walk in silently. Created by M. Kelly OBJECTS IN MOTION STAY IN MOTION! 2. Grab a calculator and any papers for today. 3. Get out your mastery tracker and track your U2 mastery. (also track your growth on U1 retake from your progress report!) Due Next Class: Derby Car Supplies Due On CA Day: Unit 1 and 2 Review (quiz grade)

2 KINEMATIC DERBY CAR!

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4 By the end of today, IWBAT - Review for the Unit 2 exam Why it matters in LIFE: Part of being a functional human being is being able to understand what s happening in the world around you! Why it matters in THIS CLASS: Our Goal = 80% Mastering today s lesson (focused participation, asking questions, etc) is the first brick that will help us reach our goal for this unit, and eventually for the year

5 House House House House Kahlo Tesla Nike Junot

6 UNIT 1 Take notes on the back of your U1 U2 review!

7 UNIT 1 KINEMATICS

8 DISTANCE, d units (meters, m) The total additive distance an object travels.

9 DISPLACEMENT, Δd units (meters, m) The distance between an object s final position and initial position. Δd = d f - d i

10 VELOCITY, v units (meters/second, m/s) The change in an object s position over time. An object s speed and direction. v = Δd Δt

11 ACCELERATION, a units (meters/second/second, m/s 2 ) The change in an object s velocity over time. Speeding up, slowing down, or staying the same. a = Δv Δt

12 VECTOR An item with both MAGNITUDE & DIRECTION 30 degrees

13 MAGNITUDE units (same as what you are measuring, ie d units m) How much! Ex: a force with a magnitude of 6N is the same as saying a force of 6N.

14 THETA, θ units (degrees ) And object s direction as an angle.

15 KINEMATICS #2 W/ YOUR HOUSE

16 UNIT 1 MOTION GRAPHS

17 POSITION-TIME GRAPHS Position is found on the y-axis Distance is found by adding up the position lengths of each segment = 8 Displacement is found by final position initial position 2-0 = 2 Velocity is found by the slope v = m = -3/4 2 Acceleration is found by 0 the shape of the slope Straight: a = Curved: a 0 a=0 4

18 Position (m) POSITION-TIME GRAPH PRACTICE 1. Position at time t = 8s 2. Distance traveled from t = 2s to t =7s 3. Displacement from t = 2s to t = 7s 4. Velocity at time t = 9.5s 5. Acceleration at t = 1s 6. Total distance and displacement over the entire 11s. 1. 3m 2. 2m + 3m = 5m 3. 3m (-2m) = 5m 4. v = m = -3m/s Time (s) 5. a = 0m/s 2 6. d = = 11m Δd = -3m (-2m) = -1m

19 VELOCITY-TIME GRAPHS Distance is found by adding up the areas under the curve as positives Displacement is found by adding the areas above the x-axis and subtracting those below Velocity is found on the y-axis Acceleration is found by the slope a = 3/2 2 3

20 VELOCITY-TIME GRAPHS PRACTICE 1. Distance traveled from t = 2s to t =4s 3. Displacement from t = 2s to t = 4s 4. Velocity at time t = 3.5s 5. Acceleration at t = 1s 6. Total distance and displacement over the entire 6s. 1. d = 1(10) + ½(1)(10) = 15m 2. Δd = 1(10) + ½(1)(10) = 15m 3. 5m/s 4. a = m = 10/1.5 = 6.67m/s 5. d = ½(1.5)(10) + 1(10) + ½(1)(10) + ½(1)(10) + 1(10) = 37.5m Δd = ½(1.5)(10) + 1(10) + ½(1)(10) - ½(1)(10) - 1(10) = 7.5m

21 MOTION GRAPHS W/ YOUR HOUSE

22 UNIT 1 FREE FALL

23 FREE FALL Falling only under the influence of gravity!

24 v f = 0 m/s = 0 m/s v i a = -9.8 m/s 2 a = -9.8 m/s 2 Δd = (+) Δd = (-) t t v i = (+) = (-) v f

25 FREE FALL #2 W/ YOUR HOUSE

26 Velocity (m/s) EXIT TICKET 2. A boat travels 12.0m while it reduces its velocity from 9.5m/s to 5.5 m/s. What is the boat s acceleration? A 1.3 m/s 2 B 3.0 m/s 2 C -2.5 m/s 2 D 2.5 m/s 2 Time (s) 1. During the time interval t = 8s to t = 10s, the cyclist is most likely - A Coasting at a constant speed B Biking down a hill C Slowing down D Changing directions 3. A ball is thrown straight up in the air with an initial velocity of 12m/s. What is the maximum height the ball reaches? A 0.61 m B m C m D 7.35 m

27 Velocity (m/s) EXIT TICKET 2. A boat travels 12.0m while it reduces its velocity from 9.5m/s to 5.5 m/s. What is the boat s acceleration? A 1.3 m/s 2 B 3.0 m/s 2 C -2.5 m/s 2 D 2.5 m/s 2 Time (s) 1. During the time interval t = 8s to t = 10s, the cyclist is most likely - A Coasting at a constant speed B Biking down a hill C Slowing down D Changing directions 3. A ball is thrown straight up in the air with an initial velocity of 12m/s. What is the maximum height the ball reaches? A 0.61 m B m C m D 7.35 m

28 UNIT 2

29 UNIT 2 HORIZONTAL PROJECTILES

30 HORIZONTAL PROJECTILES HALF ARCH PROBLEMS time x = time y

31 HORIZONTAL PROJECTILES #2 W/ YOUR HOUSE

32 UNIT 2 VECTORS

33 VECTORS NOTES 45 KP: Vectors have both magnitude & direction

34 VECTORS NOTES KP: Vectors can be broken into x and y components

35 *REMINDER!* VECTORS NOTES θ Vectors can be broken into x and y components using SOH CAH TOA SOH sin θ = opposite hypotenuse CAH cos θ = adjacent hypotenuse TOA tan θ = opposite adjacent

36 VECTORS EXAMPLE Find the x and y components of the displacement. 34

37 VECTORS #2 W/ YOUR HOUSE

38 UNIT 2 ANGLED PROJECTILES

39 HORIZONTAL PROJECTILES HALF ARCH PROBLEMS time x = time y

40 ANGLED PROJECTILES FULL ARCH PROBLEMS time x = 2 * time y

41 ANGLED PROJECTILES #2 W/ YOUR HOUSE

42 UNIT 2 CIRCULAR MOTION

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44 Tangential Velocity Acceleration

45 CIRCULAR MOTION CFU In the following image of circular motion: a. What is the direction of the acceleration at the instant shown by the red dot? b. What is the direction of the tangential velocity?

46 CIRCULAR MOTION CONCEPT Velocity and acceleration are vectors Vectors have direction If direction is changing, velocity and acceleration are changing Velocity and acceleration are NOT constant Circular motion is NOT balanced! NOT in equilibrium!

47 CIRCULAR MOTION #2 W/ YOUR HOUSE

48 EXIT TICKET 1. A ball is hit with an initial velocity of 13m/s at an angle of 17 degrees to the horizontal. Calculate the x and y components of initial velocity. A vix = m/s viy = 3.80 m/s B vix = 3.80 m/s viy = m/s C vix = m/s viy = 3.82 m/s D vix = 3.82 m/s viy = m/s 2. A rock rolls off a cliff from a height of 100m with an initial velocity of 17 m/s. How far from the bottom of the cliff does the rock land? A m B m C 20.0 m D 9.80 m 3. You are riding a Merry-Go-Round at the Fair. You are on the outermost horse, a distance of 7m from the center. The carousel makes a revolution once every 77 seconds. What is your centripetal acceleration? A m/s 2 B 0.48 m/s 2 C m/s 2 D m/s 2

49 EXIT TICKET 1. A ball is hit with an initial velocity of 13m/s at an angle of 17 degrees to the horizontal. Calculate the x and y components of initial velocity. A vix = m/s viy = 3.80 m/s B vix = 3.80 m/s viy = m/s C vix = m/s viy = 3.82 m/s D vix = 3.82 m/s viy = m/s 2. A rock rolls off a cliff from a height of 100m with an initial velocity of 17 m/s. How far from the bottom of the cliff does the rock land? A m B m C 20.0 m D 9.80 m 3. You are riding a Merry-Go-Round at the Fair. You are on the outermost horse, a distance of 7m from the center. The carousel makes a revolution once every 77 seconds. What is your centripetal acceleration? A m/s 2 B 0.48 m/s 2 C m/s 2 D m/s 2