# Ppt on range of motion

##### Introduction to motion graphs. Measuring Quantities Scalar __________________________ (number only) Examples Distance (20 meters) Speed (10 m/s) Mass.

Introduction to motion graphs Measuring Quantities Scalar __________________________ (number only) Examples Distance (20 meters) Speed (10 m/s) Mass (30kg) Vector __________________________ Examples/________________ Etc Position graphs just help out with “in which direction?” How to calculate average speed or average velocity from a graph? Find the _________ of the line!! + slope= forward (positive direction) - slope = backward (negative direction) v= Δx / Δ t Velocity= Your turn!! Calculate velocities. Label:/

##### Shoulder Testing Range of Motion, Strength Testing, Special Tests.

Shoulder Testing Range of Motion, Strength Testing, Special Tests Range of Motion Testing  Motions tested at the shoulder:  Flexion  Extension  Abduction  Adduction  Internal Rotation  External Rotation Range of Motion Testing  Shoulder Flexion & Extension (same goniometer set up)  Fulcrum  Stationary Arm  Moving Arm Range of Motion Testing  Shoulder Abduction & Adduction (same goniometer set up)  Fulcrum  Stationary Arm  Moving Arm Range of Motion Testing  Shoulder Internal & External /

##### Human cannonball Projectile trajectory Range and angle of projection Time of flight and maximum height Check-point 3 6.2 General projectile motion Book.

u 2 sin 2  g = 0 = (tan  )s x – s x 2 g 2u 2 cos 2  P.12 Book 2 Section 6.2 General projectile motion 2 Range and angle of projection Range (s x ) of a trajectory : s x = 2u 2 sin  cos  g u 2 sin 2  g = It depends on u and  : P.13 Book 2 Section 6./ (tan  )s x – s x 2 g 2u 2 cos 2  P.31 Book 2 Section 6.2 General projectile motion Check-point 3 – Q2 An athlete takes off with 9 m s –1 at an elevation of 30 . Range of the jump = ? Range = u 2 sin 2  g = 9 2 sin 2(30  ) 10 = 7.01 m P.32 Book 2 /

##### Eco|mate. eco|mate What is eco|mate®? First to mate last to break Up to 23A Increased cable range Compatible with Hirschmann and Binder Hirschmann and.

clamping area prevents cable damage Cable clamp for increased cable diameter range, can be used with multiple sealings eco|mate eco|mate® /up to 600V Same dimensions as the standard eco|mate Single hole mounting Applications -motion control -Measuring -Controlling -lighting systems Technical specification - crimp version 3+ PE/Angle Cable Connector F = Right Angle Female Cable Connector C = Male Receptacle G = Female Receptacle Number of Contacts 003 = 3 + PE 006 = 6 + PE Retention 00 = Clamping Ring 10 = /

##### We, "E Control Devices", at Faridabad (Haryana, India), are an important supplier of astounding, state of the workmanship Relays, Connectors, Switches.

, RF Devices, Factory Automation segments, Opto - Electronics and a lot of people more things. Panasonic PIR Motion Sensors Detection Range : 12 (M ) Parts in Stock : EKMC1603111 EKMC1603112 EKMC1603113 PIR Motion Sensors for HVAC - AMNSeries 5M Detection Range : AMN31112, AMN31111, AMN21112, AMN2111 2M detection Range : AMN32112, AMN32111, AMN22112, AMN22111 10m detection Range : AMN34112, AMN34111, AMN24112, AMN24111 Slight Motion Detection PIR Sensors Parts # AMN32112 AMN32111 AMN22112 AMN22111 PIR/

##### PT 153: Therapeutic Exercise II Range-of-motion Exercises

incorporating movement into a therapeutic intervention program Full ROM vs Functional ROM Types of ROM Exercises Passive range-of-motion exercises PROM Active range-of-motion exercises AROM Active-Assistive range-of-motion exercises AAROM Passive ROM Exercises Movement produced by an external force within the unrestricted range of motion of a segment Gravity Machine Therapist or another person Another part of the individual’s own body Little to or no muscle contraction elicited ! Minimize/

##### TITLE: Resistance and Inductance Testing SWI:REVISION:DATE:PAGES:WORK STATION: Resistance-InductanceA1/1/2014# OF 103015 Technology in Motion STANDARD.

the value measured on the inductance meter to range on print sheet. If not within range, notify Supervisor. 9. Compare the value measured on the inductance meter to range on print sheet. If not within range, notify Supervisor. TITLE: Resistance and Inductance Testing SWI:REVISION:DATE:PAGES:WORK STATION: Resistance-InductanceA1/1/2014# OF 103015 Technology in Motion STANDARD WORK INSTRUCTION Safety Requirements:Safety glasses In/

##### RDIs measuring sticks Performance Quality Reliability

distribution has changed between measurements In the absence of a boundary – usually sets the range We also return a profile of Correlations to match with the RSSI and velocity profiles. To make our velocity measurements we are essentially comparing how much the distribution of particles reflecting our sound back has changed in a given time. Most of that motion is presumably going to be in one/

##### Motion in Two Dimensions

. This form of two-dimensional motion we will deal with is called projectile motion. Section 4.3 Assumptions of Projectile Motion The free-fall acceleration is constant over the range of motion. It is directed downward. This is the same as assuming a flat Earth over the range of the motion. It is reasonable as long as the range is small compared to the radius of the Earth. The effect of air friction is/

drawbacks + Less straining for patient than breath-hold Increased treatment time Internal markers Direct visualization of tumor (surroundings) Invasive procedure / side effects of surgery External markers Limited burden for patient Doubtful correlation between marker and tumor position Intra-fractional Inter-fractional - + - + - Motion in charged particle therapy T. Bortfeld Range sensitivity Spherical tumor in lung Paralell opposed - photons Single field - photons Single field - protons Displayed/

##### Mobile robot localization

or position tracking problems; considering a robot endowed with odometry and using, as exteroceptive measurements, either sonar/laser readings (range finder) range to a set of landmarks. Examples Simulation data Motion model (in the simulation we consider a synchro drive system): with: Measurement model (range measurements): with: case: 0.01 m for x and y and 0.02 rad for q Examples Simulation Data We/

##### Motion in Two Dimensions:

a t 2 breaks down to d = v t. 80 m/s 1.5 m Projectiles Fired at an Angle Now let’s find range of a projectile fired with speed v0 at an angle . Step 1: Split the initial velocity vector into components. v0  v0 sin v0 /radial (along the radius). Resultant Acceleration The overall acceleration is the vector sum of the centripetal acceleration and the tangential acceleration. That is, a = ac + at This is true regardless of the direction of motion. It holds true even when an object is not moving in a perfect/

##### Two-Dimensional Motion Projectiles launched at an angle

launched projectile gets the maximum height? What angle of a launched projectile gets the maximum range? 90o 45o Projectile Motion at Various Initial Angles Complementary values of the initial angle result in the same range The heights will be different The maximum range occurs at a projection angle of 45o Non-Symmetrical Projectile Motion Follow the general rules for projectile motion Break the y-direction into parts up and/

##### Motion in Two Dimensions

. The form of two-dimensional motion we will deal with is called projectile motion. Section 4.3 Assumptions of Projectile Motion The free-fall acceleration is constant over the range of motion. It is directed downward. This is the same as assuming a flat Earth over the range of the motion. It is reasonable as long as the range is small compared to the radius of the Earth. The effect of air friction is/

##### Halliday/Resnick/Walker Fundamentals of Physics 8th edition

the initial speed v0. c) The range is independent of the angle. d) The range is only dependent on the angle. e) The range is dependent on both the initial speed v0 and the angle. 4.5.5. Complete the following statement: In projectile motion, a) the horizontal motion depends on the vertical motion. b) the vertical motion depends on the horizontal motion. c) the horizontal acceleration depends on/

##### 1 Projectile motion an object dropped from rest an object which is thrown vertically upwards an object is which thrown upwards at an angle A projectile.

 / g = u 2 sin 2  /g range 8 Maximum Range range Range = 2 u 2 sin  cos  / g = u 2 sin 2  /g Maximum range = u 2 /g when sin 2  = 1 i.e. 2  = 90 o  = 45 o 9 Summary Vertical motion: y = ut sin  – ½ gt 2 Horizontal motion: x = ut cos  Time of flight: Put y = 0 ⇒ t = 2usin  / g Range: Put t = 2u sin  / g ⇒ x/

##### FUNDAMENTALS of ENGINEERING SEISMOLOGY MEASURING GROUND MOTION.

need to digitize the records. Dr. Sinan Akkar Strong Ground Motion Parameters – Data Processing 16USGS - DAVID BOORE Sensitivity The sensitivity of seismometers to ground motion depends on the frequency of the motion. The variation of sensitivity with frequency is known as the instrument response of a seismometer. The amplitude and frequency range of seismic signals is very large. The smallest motion of interest is limited by the ground noise. The smallest/

##### PAUL SCHERRER INSTITUT Future directions and current challenges of proton therapy Tony Lomax, Oxford, 2008 Future directions and current challenges of.

proton therapy, scanning and IMPT will become more widespread in the next years (c.f. MD Anderson) To what extent can scattering be improved through the use of automated field hardware (MLC’s etc)? Range uncertainty and organ motion (particularly for scanning) remain the main challenges to proton therapy and much interesting and exciting work is still to be done in organ management/

##### Halliday/Resnick/Walker Fundamentals of Physics

of the motion to the y part of the motion? a) The x part of the motion is independent of the y part of the motion. b) The y part of the motion goes as the square of the x part of the motion. c) The x part of the motion is linearly dependent on the y part of the motion. d) The x part of the motion goes as the square of the y part of the motion/. If football B is kicked at the same angle, but with a speed 2v, what is the ratio of the range of B to the range of A? a) 1 b) 2 c) 3 d) 4 e) 9 4. 6. 6. Balls /

##### 5.6 Projectiles Launched at an Angle

Projectiles Launched at an Angle Height For the component vectors of the cannonball’s motion, the horizontal component is always the same and only the vertical component changes. At the top of the path the vertical component shrinks to zero, so the/above the ground. They also travel different horizontal distances, that is, they have different horizontal ranges. 5.6 Projectiles Launched at an Angle The paths of projectiles launched at the same speed but at different angles. The paths neglect air resistance. 5/

##### Range of motion By: Dr. Michael Banoub.

Exercises 1- RELAXED PASSIVE MOVEMENT Definition: These are movements performed accurately, rhythmical and smoothly by the physiotherapist through available range of motion( according to anatomy of joints) . The joint is moved through the free range and within the limits of pain. II- Forced passive movement Definition An exercise performed on a subject by a partner who exerts an external force not only to produce a passive/

##### Projectile Motion Chapter 5.

the angle, the shorter the horizontal range. Maximum range is usually attained at an angle of 450. Speed The cases of projectile motion mentioned in class assume air resistance is/range of the projectile is diminished and the path is not a true parabola. Speed Also, the projectile motion discussed in class has been “short-range” projectile motion. For this motion, we assume the ground is flat - the curvature of the Earth’s surface has no effect on the motion. For “long-range” projectiles, the curvature of/

##### Developing Flexibility and Muscular Fitness

throughout life. As children, we are naturally flexible, but as we age, flexibility tends to decrease. Disuse, injury, excessive body fat, and muscle imbalances are common factors in this loss of range of motion. You can maintain youthful flexibility by incorporating stretching into your regular workouts. The flexibility exercises in this section are grouped as follows: a basic fitness flexibility program with exercises for/

##### Physical Therapy Examination

PATIENTS SYMPTOMS. EXAMINATION WHEN OVERPRESSURE IS APPLIED, YOU ARE ESSENTIALLY DOING PASSIVE RANGE OF MOTION AT THE END RANGE. A MORE FORMAL PASSIVE RANGE OF MOTION TESTING IS NOT NEEDED. Examination Repeat each active, passive or resisted isometric movement/ consultation with another health care provider. APTA Guide to Practice Capsular Patterns Pattern of limitation or restriction of movement noted during range of motion testing. Specific for each joint. Non-Capsular patterns: There can be limitations /

##### Range of Motion. A goniometer is a medical tool that is used to measure range of motion. This range is expressed as angles and listed in degrees.

you have learned about movement at a joint, match the action with the correct range of motion picture. Each pair of pictures shows the placement of the goniometer at the beginning and end of the motion. Remember, you are measuring the range – how far the limb progresses at the joint while performing a specific motion.  NOTE: Three actions do NOT have a corresponding photograph. Later, you will be responsible/

##### Projectile Motion: Physics of Baseball September 22, 2010

September 22, 2010 PHYS16 – Lecture 7 Projectile Motion: Physics of Baseball September 22, 2010 Key Concepts: Physics 2D Motion Constant acceleration Independent in x and y Relative Motion Projectile Motion Definition Solving problems using kinematic equations Max range and height Projectile Motion Projectile = a propelled object that travels through the air Projectile motion or not? Throw up (Yes), throw straight out (Yes), Roll on ground (No) http://www/

##### Motion in Two Dimensions

directions simultaneously The form of two-dimensional motion we will deal with is called projectile motion Assumptions of Projectile Motion The free-fall acceleration is constant over the range of motion It is directed downward This is the same as assuming a flat Earth over the range of the motion It is reasonable as long as the range is small compared to the radius of the Earth The effect of air friction is negligible/

##### Chapter 3 Basic Biomechanical Factors & Concepts

when axis is midway between force & resistance (e.g., seesaw) Produce speed & range of motion when axis is close to force, (triceps in elbow extension) Produce force motion when axis is close to resistance (crowbar) Modified from Hall SJ: Basic biomechanics, ed/-Hill Higher Education. All rights reserved Wheels and axles Used primarily to enhance range of motion & speed of movement in the musculoskeletal system function essentially as a form of a lever When either the wheel or axle turn, the other must turn/

##### This achievement standard requires demonstration of understanding of functional anatomy and biomechanical principles and how they relate to physical activity,

performance) Force - push, pull that change state of rest or motion of a body, F = m x a Types of forces, effects of forces, impulse (range of motion) Newtons Three Laws of Motion Law of Inertia, Law Acceleration and Action/Reaction. Force Summation sequential acceleration of body segments, timing of body parts and range of motion and stretching out. Biomechanics Summary Motion Linear, Angular and General motion, Measuring Motion – equations. Projectile Motion Forces acting = propelling force, gravity, air/

##### Input-Analog Sensors : Variable Resistors

helps you detect Movement, Speed and using time factor the distance covered in a motion in three directions Input Devices-Orientation- Tilt Sensor The Parallax Memsic 2125 is a low cost, dual-axis thermal accelerometer capable of measuring tilt, acceleration, rotation, and vibration with a range of ±3 g. Key Features of the Memsic 2125: Measure 0 to ±3 g on either axis Fully temperature/

##### Motion Capture in 3D Animation Edward Tse. Motion Capture as a Tool Motion capture (MOCAP) is an effective 3D animation tool for realistically capturing.

, H., (2002) Turning to the Masters: Motion Capturing Cartoons, Proceedings of ACM Siggraph 2002 pp 399 – 407. vicon.com, inition.co.uk, polhemus.com, wikipedia.org, animazoo.com, hollywoodjesus.com vicon.com, inition.co.uk, polhemus.com, wikipedia.org, animazoo.com, hollywoodjesus.com Bonus Slides Stuff that’s too cool for you! Stats Input DeviceFrame Rate Range (hz) Position Accuracy Orientation Accuracy Latency/

##### Chapter 19 The Leg, Foot and Ankle.

The close-packed position for these joints is supination The open-packed position is midway between extremes of range of motion Biomechanics Metatarsophalangeal Joints The MTP joints have two degrees of freedom: flexion/extension and abduction/adduction. Range of motion of these joint is variable, ranging from 40° to 100° dorsiflexion (with a mean of 84°), 3° to 43° (mean, 23°) plantar flexion, and 5° to 20° varus and valgus The/

##### Chapter 5 Projectile motion. Chapter 4: straight line motion that was ONLY vertical or ONLY horizontal motion.

direction: projectile is free falling. V oy = 0 Acceleration = g = 10 m/sec 2 ↓ V = gt ↓ d = ½ gt 2 Projectile motion lab: part 1 Part 1: determine the velocity Vo of the projectile. Projectile: - fired horizontally from height h. - follows parabolic path - Range R is where projectile hits the floor. Equations: in y direction Voy = 0 g = constant acceleration distance h = ½ gt 2/

##### J Synthetic Aperture Radar Interferometry IMPLEMENTATION OF INTERFEROMETRIC TOPOGRAPHIC PROCESSING ALGORITHMS Interferometric topographic processing algorithms.

Synthetic Aperture Radar Interferometry PRESUMMING FORMULATION J Synthetic Aperture Radar Interferometry MOTION COMPENSATION l Motion compensation of radar data is required for accurate airborne interferometers l Uncompensated motion errors lead to image defocusing and mis- registration, reducing interferometric correlation and height acuity l Motion compensation consists of adjusting the range and phase of each image sample to seem as though the imaging positions lie on the reference track/

##### Forces. Unit 2: Forces Chapter 6: Systems in Motion 6.1 Motion in Two Dimension 6.2 Circular Motion 6.3 Centripetal Force, Gravitation, and Satellites.

birds are not projectiles, because they are affected by forces generated from their own power. Projectile motion The path a projectile follows is called its trajectory. The trajectory of a projectile is a special type of arch- or bowl-shaped curve called a parabola. Trajectory and range The range of a projectile is the horizontal distance it travels in the air before touching the ground. A/

servo motors *Uses standard AC drive components and accessories *Accepts 25 most common RSLogix5000 motion commands. 18 Copyright © 2005 Rockwell Automation, Inc. All rights reserved. So why would I do motion control with a drive? *Commonality of parts and training *Low to high HP ranges 1/2HP to 1250HP *Broad range of input voltage from single phase to 690V *Affords best fit for motor, gear and/

##### RANGE OF MOTION EXERCISES “Mobilization” Mazyad Alotaibi.

tissue mobility 2- Maintain the physiological properties of the muscle (extensibility, elasticity, etc.) and minimize the formation of contracture. 3- assist circulation and enhance synovial movement and diffusion of materials in the joint 4- Maintain range of motion and prevent formation of adhesions 5- Maintain the patients awareness of movements by stimulating the kinaesthetic receptors. 6- Decrease or inhibit pain Limitations of PROM Passive ROM will not: 1- Prevent/

##### Ms. Nelson Joshua Griffith 12/0537/1104 27/3/2015 Limitation in range of movement.

internal rotation,  50 degrees of external rotation. Knee range of motion  flexion and extension arc of motion which totals 135 to 145 degrees. Ankle range of motion includes  50 degrees of plantar-flexion, or toes pointing toward the ground,  20 degrees of dorsi-flexion with the toes pointing toward head  20 degrees of inversion and 5 degrees of eversion. Types of Range of Motion There are three primary types of exercises specific to range of motion.  Passive range of motion is typically practiced on/

##### Introduction Mechanics is that branch of science which deals with the state of rest or motion of bodies under the action of forces. The subject of Mechanics.

of motion is always subjected to acceleration due to gravity. k25 DEFINITIONS: Velocity of Projection is the velocity with which a body is projected into space. Angle of projection is the angle which the initial velocity vector makes with the horizontal, or the angle at which a projectile is projected with respect to horizontal. Range/ height attained (h): v y 2 - u y 2 =- 2gh (upward motion) v y = 0 h = u y 2 /2g ; h = u 2 (Sin 2  ) / 2g Range: R= u x x T (time of flight) = 2u 2( Sin  Cos  ) / g R = u/

##### S SOLUTION STEPS MOTION IN TWO DIMENSIONS For problems involving vector addition or subtraction: 1. Use a protractor and ruler to accurately represent.

after the ball is shot upwards. Name: Ball on a String Category: Mechanics Subcategory: 2-D Motion S Name: Range of a Projectile Category: Mechanics Subcategory: 2-D Motion Classes: Comments: Use the PASCO projectile launcher to fire a small plastic ball. If the starting and/ ending heights are the same, the range of the projectile is 2v*sin(2  )/g. S Name: The Monkey and the Hunter Category: Mechanics Subcategory: 2-D Motion Classes: Comments: The blow gun is a long metal tube with/

##### Motion in Two Dimensions: Projectile Motion Circular Motion Angular Speed Simple Harmonic Motion Torque Center of Mass.

1/2 gt 2 b. How far does car travel horizontally after driving off the cliff? Use d=Vt Now let’s find range of a projectile fired with speed v i at an angle . Step 1: Split the initial velocity vector into components. Projectiles Fired / Here all launch speeds are the same; only the angle varies. 38  76  proof on next slide Do the handout side on projectile motion Range Formula & Max Range at 45  First find the time. Note that  y = 0, since the projectile starts and stops at ground level (no change). /

##### ENEE631 Digital Image Processing (Spring04) Basic Video Coding and MPEG Spring ’04 Instructor: Min Wu ECE Department, Univ. of Maryland, College Park.

Fast Algorithm: 3-Step Search Search candidates at 8 neighbor positions Step-size cut down by 2 after each iteration –Start with step size approx. half of max. search range motion vector {dx, dy} = {1, 6} Total number of computations: 9 + 8  2 = 25 (3-step) (2R+1) 2 = 169 (full search) (Fig. from Ken Lam – HK Poly Univ. short course in summer’2001/

##### Multiple Function Security System. INTRODUCTION & APPLICATION ● 4 functions in on system: – Light Detector – Contact Detector – Motion Detector – Pressure.

Detector: On/ off switch LED Contact Plate ( 2.5 X 2.5)SI Part 3 : Motion Detector: On/Off switch KC778B (20 pin DIP) Voltage regulator 78L05 Fresnel Lens with diameter of 1/2 an inch Detection range: 3m- 4 m. View Field is 125 degree 3 Controllers: Motion sensitivity control PIR Time Control (time Adjustment) from 1.5 sec to 15 sec. Daylight/

##### Chapter 4 Motion in Two Dimensions. Using + or – signs is not always sufficient to fully describe motion in more than one dimension Vectors can be used.

directions simultaneously The form of two-dimensional motion we will deal with is called projectile motion Assumptions of Projectile Motion The free-fall acceleration is constant over the range of motion It is directed downward This is the same as assuming a flat Earth over the range of the motion It is reasonable as long as the range is small compared to the radius of the Earth The effect of air friction is negligible/

##### Projectile motion can be described by vertical components and horizontal components of motion. Unit 2B: Projectile Motion (Chp 3)

a ball, it accelerates downward covering a greater distance each second. c.x & y components are completely independent of each other. 3.4 Projectile Motion Projectile motion is separated into components. a.Roll a ball horizontally, v is constant, b/c no acceleration from g /– v down t total = (2) t up more angle: -more initial v y, more height -less initial v x, less range height range 1.Without air resistance, the time for a vertically tossed ball to return to where it was thrown is … A.10 m/s for/

##### Physics. Good News/Bad News: These are the same formulas we used for linear motion. Do you know them? If the answer is “NO”, then get familiar with them.

from a cliff that is 35 m high. Find time of flight, t = ? Find range, d x = ? Find final velocity, v f = ? V x = 5 m/s height d y =35 m Range, d x Since we know more values for vertical motion, let’s use it to find time. Start with the/ to find time for this problem. You may use any of them you wish. vivi θ V y top = 0 VyVy VxVx d ymax =height Range, dx Find time – Method 2: Use vertical motion and symmetry. Remember that the y component of initial and final velocities are equal and opposite. So using the/

##### Physics pre-AP. Equations of motion : We assume NO AIR RESISTANCE! (Welcome to “Physicsland”), therefore… The path of a projectile is a parabola. Horizontal.

all projectiles… Hint: You should always list your known values at the beginning of any problem and assign those values variables. vxvx vxvx height dydy Range, d x Remember to keep the horizontal and vertical motions separate. Time is the same for both directions. The time to fall / y =26 m/s v y =-26 m/s A football is kicked from the ground with a speed of 30m/s at and angle of 60°. Find time of flight, range, and maximum height. v x =15 m/s Vertical displacement is not zero. Consider the launch point as /

or ask the nurse which residents need help with ROM exercises.  Active range of motion  The person does the exercise independently  Assisted range of motion  The person does the exercise with partial assistance  Passive range of motion  Someone else moves the extremity without the person’s assistance Copyright © 2010 Delmar, Cengage Learning. All rights reserved. May 2010 Range of motion 7 Tips for helping with ROM exercises  Be gentle  Watch for signs/

##### Thursday, Sept. 11, 2014PHYS 1443-004, Fall 2014 Dr. Jaehoon Yu 1 PHYS 1443 – Section 004 Lecture #6 Thursday, Sept. 11, 2014 Dr. Jaehoon Yu Motion in.

1443-004, Fall 2014 Dr. Jaehoon Yu 1 PHYS 1443 – Section 004 Lecture #6 Thursday, Sept. 11, 2014 Dr. Jaehoon Yu Motion in two dimensions Projectile Motion Maximum range and height Newton’s Laws of Motion Mass Newton’s second law of motion Newton’s third law of motion Today’s homework is homework #4, due 11pm, Thursday, Sept. 18!! Thursday, Sept. 11, 2014PHYS 1443-004, Fall 2014 Dr/

##### Projectile Motion An object may move in both the x and y directions simultaneously The form of two-dimensional motion we will deal with is called projectile.

in both the x and y directions simultaneously The form of two-dimensional motion we will deal with is called projectile motion Assumptions of Projectile Motion The free-fall acceleration is constant over the range of motion It is directed downward It is reasonable as long as the range is small compared to the radius of the Earth The effect of air friction is negligible With these assumptions, an object in/