# PHYSICS I UNIT 1 Motion Kinematics One – Dimensional Motion / JAVA APPLETS

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PHYSICS I UNIT 1 Motion Kinematics One – Dimensional Motion http://www.walter-fendt.de/ph14e / JAVA APPLETS http://higheredbcs.wiley.com/legacy/college/halliday/0 471320005/simulations6e/index.htm?newwindow=true WILEY APPLETS

Lesson One Motion chap 2 Objectives  Using Position vs. Time Graphs  Using Data  Calculate:  Average Velocities  Average Accelerations Homework  Problems  pg 52 #’s 43 – 50 ALL  Problems  pg 52 #’s 51 – 61 ODD UNIT 1 Lesson 1 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? Honor: If his initial velocity was 0, what was his average acceleration?

Definitions Average velocity: Average acceleration: UNIT 1 Lesson 1

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 UNIT 1 Lesson 1

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 Lesson 1

Lesson # 1 In Class Equations of one- dimensional motion page 51 Answer Review Concepts page 39 practice problems #’s 9 – 13 PRACTICE / DEMO  Cart Rolling down Ramp  Measure Displacement  Measure Time  Calculate Average Velocity  Position vs. Time  http://webphysics.davidson.edu/physlet_resources/physlet_ph ysics/contents/mechanics/one_d_kinematics/default.html http://webphysics.davidson.edu/physlet_resources/physlet_ph ysics/contents/mechanics/one_d_kinematics/default.html  Constant Acceleration vs. Time  http://webphysics.davidson.edu/physlet_r esources/physlet_physics/contents/mecha nics/one_d_kinematics/default.html http://webphysics.davidson.edu/physlet_r esources/physlet_physics/contents/mecha nics/one_d_kinematics/default.html UNIT 1 Lesson 1

The BIG 5 Chap 3 Objectives  Utilize THE BIG FIVE EQUATIONS!!! Equations on Page 79 (Chapter 3)  Each student should be able to solve for :  V f when V i,,a and t are known  V i when, V f,a and d are known  d when V f, V i and t are known  d when a, V i and t are known  a when d, V i, V f and t are known Homework  Summary Sheet chap 3 terms,  Solving for -Average Velocity -Acceleration, Final Velocity  Page 61 & 64  Practice Problems 1 – 10 ALL UNIT 1 Lesson 2 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?

V f 2 = V 0 2 + 2aΔd E.g. 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 0 2 + 2aΔs, 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 Lesson 2

d = V 0 Δt + 0.5 a Δt 2 E.g. 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 + 0.5 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 = 8.51 or -8.51 seconds. As time cannot be negative, t = 8.51 seconds. t = 9 seconds UNIT 1 Lesson 2

d = V avg * t = (V 0 + V f )/2 × t 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 Lesson 2

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 Lesson 2

In Class  Pages 60 – 63  Examples 1 and 2 PRACTICE / DEMO  Motion with Constant Acceleration  http://www.walter- fendt.de/ph14e/acceleration.htm http://www.walter- fendt.de/ph14e/acceleration.htm UNIT 1 Lesson 2 Summary Sheet chap 3 terms, Solving for -Average Velocity -Acceleration, Final Velocity Page 61 & 64 Practice Problems 1 – 10 ALL REVIEW LAB I {F-150} Work Sheet HOMEWORK

Data Tables and Graphs Objectives  Calculate: Average Velocities from data tables (and graphs)  Calculate: Average Accelerations from data tables (and graphs) Homework  Pg: 65 - 71  Practice Problems  #19, 22, 25, 27 32 #41 UNIT 1 Lesson 3 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?

x, (m) Position vs. time graph (velocity) UNIT 1 Lesson 3

v, (m/s) velocity vs. time graph (acceleration) UNIT 1 Lesson 3

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 Lesson 3

Uniform Acceleration in One Dimension:  Motion is along a straight line (horizontal, vertical or slanted).  Changes in motion result from a CONSTANT force producing uniform acceleration.  The velocity of an object is changing by a constant amount in a given time interval.  The moving object is treated as though it were a point particle. UNIT 1 Lesson 3

Example 6: An airplane flying initially at 400 ft/s lands on a carrier deck and stops in a distance of 300 ft. What is the acceleration? Δx = 300 ft v o = 400 ft/s v f = 0 + Step 1. Draw and label sketch. Step 2. Indicate + direction

Example: (Cont.) + Step 3. Step 3. List given; find information with signs. Given: v o = 400 ft/s- initial velocity of airplane v = 0 - final velocity after traveling Δx = +300 ft v = 0 - final velocity after traveling Δx = +300 ft Find: a = ?- acceleration of airplane Δx = 300 ft v o = 400 ft/s v f = 0

Step 4. a t Step 4. Select equation that contains a and not t. v f 2 - v o 2 = 2aΔx 0 a = = -v o 2 2x -(400 ft/s) 2 2(300 ft) a = - 300 ft/s 2 a = - 300 ft/s 2 Why is the acceleration negative? Because Force is in a negative direction which means that the airplane slows down Given: v o = +400 ft/s v = 0 v = 0 Δx = +300 ft

Lesson # 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

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. ..\..\Physics I LABs\Motion\CarA vs Car B Graphs and data tables.xls..\..\Physics I LABs\Motion\CarA vs Car B Graphs and data tables.xls UNIT 1 LESSON 5 Do Now! By Team swap labs Check Data and Calculations Read Results and Conclusion sections Evaluate Effort using EEMO

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 74 Practice Problems #’s 42 – 46  Section Review #’s 47  Page 82 #’s 97, 100, 101 UNIT 1 Lesson 6 Do Now! A lacrosse ball is dropped and falls from the BIW Crane. If the Cranes is 350.0 ft tall (107.7 meters). How long will it take the ball to hit the ground? What will the velocity be?

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 = -

In Class  Page 74 Practice Problems #’s 42 – 46  Section Review #’s 47  Page 82 #’s 97, 100, 101 PRACTICE / DEMO  Free Fall  http://higheredbcs.wiley.com/legacy/ college/halliday/0471320005/simulatio ns6e/index.htm?newwindow=true http://higheredbcs.wiley.com/legacy/ college/halliday/0471320005/simulatio ns6e/index.htm?newwindow=true  Free Fall- 2  http://www.walter- fendt.de/ph14e/accelera tion.htm http://www.walter- fendt.de/ph14e/accelera tion.htm UNIT 1 Lesson 6

LAB 2 Calculate Gravitational - Acceleration in BATH, ME Objectives  Be able to utilize the BIG 5 Equations to calculate:  Velocity  Displacement  Acceleration of a moving object Homework  Finish LAB REPORT Typed UNIT 1 Lesson 7 Do Now! 2 minutes A lacrosse ball is dropped and falls from the BIW Crane. If the Cranes is 350.0 ft tall (107.7 meters). How long will it take the ball to hit the ground? What will the velocity be?

 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 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

 In Class / Homework:  Page 82 – 83  #’s 103, 107, 108, 109, 110, 111, 11, 113 REVIEW Test Lesson 10 UNIT 1 Lesson 8

LESSON 9 Review

PHYSICS I UNIT 1 MOTION Do NOW: TEST Homework: Chapter 4 What are Newton’s THREE Law’s Give and example when it they happened to YOU!

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