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AP PHYSICS UNIT 1 Kinematics Section 1 One – Dimensional Motion Displacement Velocity (speed) Average Instantaneous Acceleration Constant Average Instantaneous.

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Presentation on theme: "AP PHYSICS UNIT 1 Kinematics Section 1 One – Dimensional Motion Displacement Velocity (speed) Average Instantaneous Acceleration Constant Average Instantaneous."— Presentation transcript:

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2 AP PHYSICS UNIT 1 Kinematics Section 1 One – Dimensional Motion Displacement Velocity (speed) Average Instantaneous Acceleration Constant Average Instantaneous Free Fall / JAVA APPLETS /simulations6e/index.htm?newwindow=true WILEY APPLETS astr.gsu.edu/hbase/hframe.html HYPER PHYSICS PHYSICS LAB /one_d_kinematics/default.html DAVIDSON APPLETS University of New South Wales Lessons – Mechanics Romac AP Physics Unit 1 Section 1

3 "In theory, theory and practice are the same. In practice, they are not."... Albert Einstein (1879~1955, Mathematical physicist, Nobel Prize 1921-Physics) LEARN AP PHYSICS mechanics-questions AP PHYSICS Multiple Choice Problems Education dot com Romac AP Physics Unit 1 Section 1

4 Labs  Lab AV-E1Motion on an Incline  Lab V-E2Back and Forth Motion  Lab V-E3Cart on a Ramp (F-150)  Lab V-E4Determining “g” on an incline (ramp and F – 150)  Read and be able to TYPE a formal lab write up using the Lab Format provided Romac AP Physics Unit 1 Section 1

5 Measuring and Dimensions  Chapter One  SI Units  Dist = Meters  Time = Seconds  Mass = Kilograms  Density  Dimensional Analysis  Significant figures  Math Review  Page  #4, 13, 14, 16, 26, 28, 29, 37  Page A.18  Exercises 2 – 6 even  Page A.19  Exercises 1,2,3  Page A  Exercises 1,2,3 UNIT 1 Section 1 Lesson 1 Do Now!  Homework What are the units for Velocity? What is the UNIT for: Energy Work Heat Romac AP Physics Unit 1 Section 1

6 Motion Chap 2 Objectives  Using Position vs. Time Graphs  Using Data  Calculate:  Average Velocities  Average Accelerations Homework  Pages 50 – 52  #’s 5, 6, 7, 9, 14, 15, 16, 17, 18 UNIT 1 Section 1 Lesson 2 Do Now! Men’s USA runner Maurice Greene won the gold in the 100 meter sprint with a time of 9.87 s. What was his average velocity? If his initial velocity was 0, what was his average acceleration? Romac AP Physics Unit 1 Section 1

7 Definitions Average velocity: Average acceleration: Romac AP Physics Unit 1 Section 1 UNIT 1 Section 1 Lesson 2

8 Definition of Speed  Speed is the distance traveled per unit of time (a scalar quantity). v s = = dtdt 20 m 4 s v s = 5 m/s Not direction dependent! A B d = 20 m Time t = 4 s Romac AP Physics Unit 1 Section 1 UNIT 1 Section 1 Lesson 2

9 Definition of Velocity  Velocity is the displacement per unit of time. (A vector quantity.) Direction required! A B s = 20 m Time t = 4 s Δx= 12 m 20 o = 3 m/s at 20 0 N of E UNIT 1 Section 1 Lesson 2 Romac AP Physics Unit 1 Section 1

10 In Class Find the Equations (5) of one- dimensional motion PRACTICE / DEMO  Cart Rolling down Ramp  Measure Displacement  Measure Time  Calculate Average Velocity. Illustration 2.3:Illustration 2.3: Average and Instantaneous Velocity. Illustration 2.4:Illustration 2.4: Acceleration and Measurement. Illustration 2.5:Illustration 2.5: Motion on a Hill or Ramp. Lab AV-E1Motion on an Incline Romac AP Physics Unit 1 Section 1 UNIT 1 Section 1 Lesson 2

11 The BIG 5 Objectives  Utilize THE BIG FIVE EQUATIONS!!!  Each student should be able to solve for : VfVf when V i,,a and t are known ViVi when, V f,a and d are known dd when V f, V i and t are known dd when a, V i and t are known aa when d, V i, V f and t are known Homework  Summary Sheet chap 2 terms,  Solving for -Average Velocity -Acceleration -Final Velocity  Problem Set Do Now! Navy jets launch from aircraft carriers using catapults go from 0 to launch speed in 175 feet (5.334X 10 1 m) in 2.15 sec. What is the average velocity as it travels down the catapult? How far has it traveled at 1.10 seconds? Romac AP Physics Unit 1 Section 1 UNIT 1 Section 1 Lesson 3

12 V f 2 = V aΔd Example: A train accelerates from 10 m/s to 40 m/s at an acceleration of 1m/s 2. what distance does it cover during this time. Using V 2 = V aΔs, we sub in values 40 for V, 10 for V 0 and 1 for a. Re-arranging to solve for s, we get: ΔS = 750 m With Significant Digits ΔS = 800 m UNIT 1 Section 1 Lesson 3 Romac AP Physics Unit 1 Section 1

13 d = V 0 Δt a Δt 2 Example: A body starts from rest at a uniform acceleration of 3 m/s 2. how long does it take to cover a distance of 100m. Using d = V 0 Δt a Δt 2, we sub in values 3 for a, 0 for V 0 and 100 for s. Re-arranging the equation and solving for t (using the quadratic formula), we get: t = 8.16 or seconds. As time cannot be negative, t = 8.16 seconds. t = 8 seconds UNIT 1 Section 1 Lesson 3 Romac AP Physics Unit 1 Section 1

14 d = V avg * t = (V 0 + V f )/2 × t Example: A car decelerates from 20.0 m/s to 10.0 m/s over a period of 10.0 seconds. How far does it travel during this time period. Using d = (V 0 + V f )/2 × t, we sub in values 20.0 for V 0, 10.0 for V f and 10.0 for t. Solving for s, we get: d = 150m UNIT 1 Section 1 Lesson 3 Romac AP Physics Unit 1 Section 1

15 Note:  All units must be converted such that they are uniform for different variable throughout the calculations.  Time  seconds  Distance  meters  Velocity  m/s  Acceleration  m/s 2  Kinematic quantities (except time) are VECTORS and can be negative. UNIT 1 Section 1 Lesson 3 A Sep 10 /11 Romac AP Physics Unit 1 Section 1 /contents/mechanics/one_d_kinematics/default.html

16 x, (m) Position vs. time graph (velocity) UNIT 1 Section 1 Lesson 3 Sep 10/11 Romac AP Physics Unit 1 Section 1

17 v, (m/s) velocity vs. time graph (acceleration) UNIT 1 Section 1 Lesson 3 Sep 10/11 Romac AP Physics Unit 1 Section 1

18 Graphical Analysis xx tttt x2x2x2x2 x1x1x1x1 t2t2t2t2 t1t1t1t1 xx tt Time slope Displacement, x Average Velocity: Instantaneous Velocity: UNIT 1 Section 1 Lesson 3 Romac AP Physics Unit 1 Section 1

19 In Class PRACTICE / DEMO  Motion with Constant Acceleration  HOMEWORK UNIT 1 Section 1 Lesson 3 Sep 10/11  Summary Sheet chap 2 terms,  Review Lab Format and truck Lab for next class  Solving for -Average Velocity -Acceleration -Final Velocity  Page 52 – 54  21, 25, 26, 31,33, 37, 41, 44, 66 Romac AP Physics Unit 1 Section 1

20 Velocity LAB Objectives  Measuring times of roll  Calculate  THE ACCELERATION  THE VELOCITIES  OF AN F-150 ROLLING DOWN THE ACADEMIC WING HILL. Homework  Complete LAB 1  BRING LAPTOP with “ EXCEL ” for next class UNIT 1 Lesson 4 Sep ??? me=Kinematics_LabProAcceleratedMotion.xml Labpro - Cart Romac AP Physics Unit 1 Section 1

21 Lab Review - Excel Objectives  Utilizing Excel  Plot Data and obtain Graphs of:  Position vs. Time  Velocity vs. time  Acceleration vs. time Homework On Excel create a graph that shows a Lacrosse ball falling at a constant acceleration of 9.8 m/s2 for 30 seconds. UNIT 1 LESSON 5 Fri Sep 14 Do Now By Team swap labs Check Data and Calculations Read Results and Conclusion sections Evaluate Effort using EEMO Romac AP Physics Unit 1 Section 1

22 Aaaaaaaah! Free Fall Objectives  Be able to utilize the BIG 5 Equations to calculate:  Velocity  Displacement of a falling {NO Friction} object on Earth Homework  Page 53  #’s 41, 43, 47, 48, 49, 52 UNIT 1 Section 1 Lesson 6 TUES Sep 18 Do Now! TEST ends at 11:25 am A lacrosse ball is dropped and falls from the BIW Crane. If the Cranes is ft tall (107.7 meters). How long will it take the ball to hit the ground? What will the velocity be?. Illustration 2.6:Illustration 2.6: Free Fall. Romac AP Physics Unit 1 Section 1

23 Sign Convention: A Ball Thrown Vertically Upward Velocity is positive (+) or negative (-) based on direction of motion. Velocity is positive (+) or negative (-) based on direction of motion. Displacement is positive (+) or negative (-) based on LOCATION. Displacement is positive (+) or negative (-) based on LOCATION. Release Point UP = + Acceleration is (+) or (-) based on direction of force (weight). Acceleration is (+) or (-) based on direction of force (weight). y = 0 y = + y = 0 Negative y = - Negative v = + v = 0 v = - Negative v= - Negative a = - UNIT 1 Section 1 Lesson 6 Romac AP Physics Unit 1 Section 1

24 In Class  Pages Examples  2.10 – 2.11 – 2.12 PRACTICE / DEMO  Free Fall  s6e/index.htm?newwindow=true s6e/index.htm?newwindow=true  Free Fall- 2  UNIT 1 Section 1 Lesson 6 Romac AP Physics Unit 1 Section 1

25 OBJECTIVES  Calculate: Instantaneous Velocities from data tables (and graphs) Illustration 2.3:Illustration 2.3: Average and Instantaneous Velocity.  Calculate: Instantaneous Accelerations from data tables (and graphs)  Calculus: Derivative unsw.edu.au/jw/calculus.htm#P ower HOMEWORK PG: 54 #52 FIND THE INST VELOCITY AT T= 2.0 SEC FIND THE INST ACCELERATION AT T = 2.0 SEC #53, #54 UNIT 1 Section 1 Lesson 7 Do Now! What is the average acceleration of the A-6 Intruder as it travels down the catapult from 0 to 150 Knots (7.62 X 10 1 m/s) in 2.15 seconds? Problem 2.1:Problem 2.1: Position vs. time graph for the T-bird. Problem 2.4:Problem 2.4: Two balls are putted with the same initial velocity on separate greens. Problem 2.5:Problem 2.5: Sketch velocity vs. time graph. Problem 2.7: Calculate the acceleration of 6 carts depending on the data given. Problem 2.7: Problem 2.8:Problem 2.8: The purple truck is catching up to the yellow truck. Romac AP Physics Unit 1 Section 1

26 Constant Acceleration Motion DO NOW: What is the gravitational Acceleration in Bath, ME? Would it be larger or smaller on Mount Everest? Why? UNIT 1 Lesson 8 Homework: What is the gravitational Acceleration in Bath, ME? Formal LAB Write-up  Lab V-E4  Determining “g” on an incline (ramp and F – 150) Romac AP Physics Unit 1 Section 1

27 UNIT 1 Lesson 9  You must know how to do these actions:  Calculate Average Velocities from data  Calculate Average Accelerations from data  Calculate times and distances given Average Velocities & Accelerations  Calculate Average Velocities & Accelerations given times and distances  Calculate and / or measure Average Velocities from data tables (and graphs)  Calculate and / or measure Average Accelerations from data tables (and graphs)  Calculate Acceleration due to gravity of an object in free fall  Calculate an objects velocity in free fall Romac AP Physics Unit 1 Section 1

28 AP PHYSICS I UNIT 1 Section 1 MOTION Do NOW: TEST Homework: Chapter 3 Vectors Give and example when it they happened to YOU! Romac AP Physics Unit 1 Section 1


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