Ppt on distance displacement speed velocity acceleration and equations of motion

Chapter 2: Motion in One Dimension Section 1: Displacement & Velocity.

does acceleration When direction changes, so does acceleration When there is a constant velocity, there is no acceleration Review Displacement with Constant Acceleration: Note that:  This equation does not require acceleration. v f + v i 2 x =t Example A racing car reaches a speed of 42 m/s. It then begins a uniform negative acceleration, using its parachute and braking system, and comes to rest 5.5 s later. Find the distance that/

National 4/5 Physics In addition to set homework you will be expected to finish off class notes and regularly review work against the learning outcomes.

the science of describing the motion of objects using words, diagrams, numbers, graphs and equations. Print for lab books The goal is to develop mental models which describe and explain the motion of real-world objects. Key words: vectors, scalars, distance, displacement, speed, velocity. By the end of this section you will be able to: Describe what is meant by vector and scalar quantities State the difference between distance and displacement State the difference between speed and velocity State that/

Algebra Skills & Proportional Reasoning

motion of a particle x-t graph vs motion of a particle with acceleration What are the accelerations and displacements? What are the accelerations and displacements? Acceleration vs. Time Graph The slope means NOTHING The area between the curve and the horizontal axis is the change in velocity a 10 s t -10 m/s/s Important Acceleration tells us how fast velocity changes Velocity tells us how fast position changes Kinematics Equations (accelerated motion) Falling Bodies, thrown up objects, and/

Kinematics Kinematics is the branch of mechanics that describes the motion of objects without necessarily discussing what causes the motion. We will learn.

speed d = distance t = elapsed time The SI unit of speed is the m/s Average speed is always a positive number. Average Velocity Average velocity describes how fast the displacement is changing. The equation is: Average velocity is + or – depending on direction. where: vave = average velocity x = displacement t = elapsed time The SI unit of velocity is the m/s. Qualitative Demonstrations Demonstrate the motion of a particle that has an average speed and an average velocity that/

Describing Motion.

side of your Motion Exit Ticket. Exchange your paper with a partner when you’re finished. Determine the distance and displacement of their path ASSESS: Draw a shape with a distance of 10 and a displacement of 0 Complete the “Skate Park” challenge Speed starter Complete the “Skate Park” challenge Speed Speed – the rate at which an object changes its position What is your speed if you cover 240 miles in 4 hours? Never Fear! Equation/

Motion Along a Straight Line

Slope = acceleration! Understand straight-line motion with constant acceleration Goals for Chapter 2 Understand straight-line motion with constant acceleration Examine freely falling bodies Analyze straight-line motion when the acceleration is not constant 4 Introduction Kinematics is the study of motion. Displacement, velocity and acceleration are important physical quantities. A bungee jumper speeds up during the first part of his fall and then slows to a halt. Displacement vs. Distance Displacement (blue/

Objectives Describe motion in terms of frame of reference, displacement, time, and velocity. Calculate the displacement of an object traveling at a known.

of accelerated and nonaccelerated motions. Apply kinematic equations to calculate distance, time, or velocity under conditions of constant acceleration. Changes in Velocity Acceleration is the rate at which velocity changes over time. An object accelerates if its speed, direction, or both change. Acceleration has direction and magnitude. Thus, acceleration is a vector quantity. Acceleration Changes in Velocity, continued Consider a train moving to the right, so that the displacement and the velocity/

Ball thrown upwards and caught at same height on way down 0 A B C D Displacement Time 0 A B C D Velocity Time Upwards is positive, Initial displacement.

) its final velocity (b) its displacement Equations of Motion Questions 2) A car travels at 25ms -1 for 7 seconds then slows to a halt in 5 seconds. Calculate (a) distance travelled in first 7 seconds (b) its acceleration during the last 5 seconds (c) the total distance travelled. 3) An arrow accelerates from rest at 300ms -2 through a distance of 0.5m. it then flies at steady speed 20m to/

Copyright © 2009 Pearson Education, Inc. © 2009 Pearson Education, Inc. This work is protected by United States copyright laws and is provided solely for.

© 2009 Pearson Education, Inc. Units of Chapter 2 Reference Frames and Displacement Average Velocity Instantaneous Velocity Acceleration Motion at Constant Acceleration Solving Problems Freely Falling Objects Copyright © 2009 Pearson Education, Inc. Units of Chapter 2 Variable Acceleration; Integral Calculus Graphical Analysis and Numerical Integration Copyright © 2009 Pearson Education, Inc. 2-1 Reference Frames and Displacement Any measurement of position, distance, or speed must be made with respect to a/

1-D Kinematics.

use this equation: The SI unit of acceleration is the m/s2. Acceleration in 1-D Motion has a sign! If the sign of the velocity and the sign of the acceleration is the same, the object speeds up. If the sign of the velocity and the sign of the acceleration are different, the object slows down. a = ∆v / ∆t Qualitative Demonstrations 1) Demonstrate the motion of a particle that has zero initial velocity and positive acceleration. 2) Demonstrate the motion of a/

THE FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE

no acceleration or vertical motion or pressure change and its usefulness is therefore limited in the study of large-scale pressure systems and rain-producing mechanisms. The method of using eqn. 3.6 to deduce wind speed from isobar spacing may be illustrated as follows: Fig. 3.2 shows a supposed distribution of mean-sea-level isobars drawn at 4hPa intervals and at different distances apart. The geostrphic wind equation 3/

Unit B: Changes in Motion

represent? graphing review Assignment Please complete the following: Distance, Displacement, Velocity and Speed worksheet. Vector Components worksheet Page 193 # 3 and 4. 1.5 Accelerated Motion Acceleration = change in velocity over a specific time interval. When something speeds up or slows down. Formula: a = v /t Units: m/s2 1.5b) Graphing Accelerated motion Velocity changes, this changes the shape of the graph you are looking for. Displacement is found by the area under the v/

Chapter 12-1 & Chapter 12-1 & 12-2 • Relations between s(t), v(t), and a(t) for general INTRODUCTION & RECTILINEAR KINEMATICS: CONTINUOUS MOTION.

the distance, s, along the curve from a fixed reference point. VELOCITY IN THE n-t COORDINATE SYSTEM The velocity vector is always tangent to the path of motion (t-direction). The magnitude is determined by taking the time derivative of the path function, s(t). v = vut where v = s = ds/dt . Here v defines the magnitude of the velocity (speed) and ut defines the direction of the velocity vector. ACCELERATION IN/

Regent Physics Review.

unit of time Velocity is the displacement of an object in a unit of time Average Speed/Velocity Equations Symbols Speed/Velocity Problems 1.) A boy is coasting down a hill on a skateboard. At 1.0s he is traveling at 4.0m/s and at 4.0s he is traveling at 10.0m/s. What distance did he travel during that time period? (In all problems given in Regents Physics, assume acceleration/

Linear Motion TRANSLATION ONLY! Object maintains angular orientation (  ) measured in meters - SI unit other units - inches, feet, miles, centimeters,

2Eqn 4 Remember: when there is no change in direction then displacement and distance are the same thing so … Often times it is useful to consider these equations being applied separately for x- and y-directions d = displacement (d = s f – s i ) v i = initial velocity v f = final velocity a = acceleration t = time Eqns of Constant Acceleration Motion ECAM’s Eqn 1Eqn 3 Eqn 2Eqn 4 Remember that d = s/

Section 2.4 Acceleration © 2015 Pearson Education, Inc.

gives © 2015 Pearson Education, Inc. Constant Acceleration Equations Combining Equation 2.11 with Equation 2.12 gives us a relationship between displacement and velocity: Δx in Equation 2.13 is the displacement (not the distance!). © 2015 Pearson Education, Inc. Constant Acceleration Equations For motion with constant acceleration: Velocity changes steadily: The position changes as the square of the time interval: We can also express the change in velocity in terms of distance, not time: Text: p. 43 © 2015/

Motion in One Dimension

released it The distance is twice the height The displacement is zero Classifications Scalars Vectors Distance Displacement Speed Velocity Acceleration Magnitude of a Force Forces Magnitude of a Momentum Momentum Torque Speed The average speed of an object is defined as the total distance traveled divided by the total time elapsed Speed is a scalar quantity Speed, cont Average speed totally ignores any variations in the object’s actual motion during the trip The total distance and the total/

Linear Kinematics Describing Objects in Linear Motion

Distinguish between linear, angular, and general motion Define distance traveled and displacement, and distinguish between the two Define average speed and average velocity, and distinguish between the two Define instantaneous speed and instantaneous velocity Objectives Define average acceleration Define instantaneous acceleration Name the units of measurement for distance traveled and displacement, speed and velocity, and acceleration Use the equations of projectile motion to determine the vertical or/

Chapter 6A. Acceleration

of directions and signs for velocity, displacement, and acceleration. Solve problems involving a free-falling body in a gravitational field. 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 cause of motion will be discussed later. Here we only treat the changes. The moving object is treated as though it were a point particle. Distance and Displacement Distance/

10/18 do now The mass of a space shuttle is approximately 2.0 × 10 6 kg. During lift-off, the net force on the shuttle is 1.0 × 10 7 newtons directed upward.

Relative Velocity and Riverboat ProblemsRelative Velocity and Riverboat Problems 8.Independence of Perpendicular Components of MotionIndependence of Perpendicular Components of Motion Vectors and Direction All quantities can by divided into two categories - vectors and scalars.vectors and scalars A vector quantity is fully described by both magnitude and direction. A scalar quantity is fully described by its magnitude. Examples of vector include displacement, velocity, acceleration, and force. Each of these/

Acceleration Physics Montwood High School R. Casao.

problems usually involve a car moving with an initial velocity toward an object a measured distance away. Reaction time is the time it takes for the driver to take their foot off of the gas pedal and press on the brake pedal. During the reaction time, the car does not accelerate and maintains a constant speed; therefore, the only equation you should use is Reaction Time If you/

Linear Motion or 1D Kinematics With thanks to: Sandrine Colson-Inam, Ph.D References: Conceptual Physics, Paul G. Hewitt, 10 th edition, Addison Wesley.

Wesley publisher Outline The Big Idea Scalars and Vectors Distance versus displacement Speed and Velocity Acceleration Describing motion with diagrams Describing motion with graphs Free Fall and the acceleration of gravity Describing motion with equations The Big Idea Kinematics is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations. Kinematics is a branch of mechanics. The goal of any study of kinematics is to develop sophisticated mental models which/

Motion in a Straight Line KINEMATICS - the process of motion is integral to the description of matter characteristics - all matter is moving - therefore.

of motion symbol = s Measurement of Speed Total distance : the sum of the all changes in position Time : an interval of change measured in seconds Position : Separation between the object and the reference point Types of Speed Rest : no change in motion Instantaneous: the current speed of an object at a point of time Average : two ways to determine the “mean” movement Total distance / Total time Sum of the individual speeds / number of speed measurements Speed is a scalar quantity Velocity Displacement/

Review of Kinematic Equations and Applications of Free Fall Mrs. B-Z.

. Thus the displacement of the object is 75 meters during the 10 seconds of motion. Example 1 1. Rennata Gas is driving through town at 25.0 m/s and begins to accelerate at a constant rate of –1.0 m/s2. Eventually Rennata comes to a complete stop. a. Represent Rennatas accelerated motion by sketching a velocity-time graph. Use the velocity- time graph to determine the distance traveled while decelerating/

Motion © David Hoult 2009. Displacement is distance moved in a specified direction © David Hoult 2009.

a velocity / time graph to find displacement The calculation of the displacement of the body is the same as calculating the area under the graph between 0 and 8 seconds © David Hoult 2009 The area under a velocity / time graph represents the displacement of the body © David Hoult 2009 Equations of Motion © David Hoult 2009 These equations are useful when bodies move with uniform acceleration. Symbols used in the equations: © David Hoult 2009 These equations are/

Chapter 2 Motion in One Dimension. Dynamics The branch of physics involving the motion of an object and the relationship between that motion and other.

/s 2 g is always directed downward toward the center of the earth Ignoring air resistance and assuming g doesn’t vary with altitude over short vertical distances, free fall is constantly accelerated motion Free Fall – an object dropped Initial velocity is zero Let up be positive Use the kinematic equations Generally use y instead of x since vertical Acceleration is g = -9.80 m/s 2 v o/

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.

t seconds is (v – u) Change in velocity / sec. = v – u / t = a v = u + at -----(1) Equations of Motion Under Uniform Acceleration k17 2. Equation of Motion: (Relation between s, u, a and t) Let a body moving with an initial uniform velocity u be accelerated with a uniform acceleration a for time t. If v is the final velocity, the distance s which the body travels in time t is determined as/

1 PHYSICSMR BALDWIN Speed & Velocity9/15/2014 AIM: What is motion and how does it change? DO NOW: What do you understand about the terms speed and acceleration?

is motion and how does it change? DO NOW: A skater increases his speed from 2.0 m/s to 10.0 m/s in 3.0 s. What is his acceleration? Home Work: Worksheet 2.2 17 Check Which of the following statements correctly define acceleration? A. Acceleration is the rate of change of displacement of an object. B. Acceleration is the rate of change of velocity of an object. C. Acceleration is the amount of distance covered/

Splash Screen Chapter 3: Accelerated Motion Chapter 3: Accelerated Motion Click the mouse or press the spacebar to continue.

solve for time: Section 3.2-26 Section 3.2 Section 3.2 Motion with Constant Acceleration An Alternative Expression This equation can be solved for the velocity, v f, at any time, t f. The square of the final velocity equals the sum of the square of the initial velocity and twice the product of the acceleration and the displacement since the initial time. Section 3.2-27 Section 3.2 Section 3/

The motivation behind ……. Studying of motion of bodies??? …….

a) define displacement, speed, velocity and acceleration. (b) use graphical methods to represent displacement, speed, velocity and acceleration. (c) find the distance traveled by calculating the area under a velocity-time graph. (d) use the slope of a displacement-time graph to find the velocity. (e) use the slope of a velocity-time graph to find the acceleration. Assessment Objectives: (f) derive, from the definitions of velocity and acceleration, equations which represent uniformly-accelerated motion in a/

1. Unit-3 2 Science Unit 3.1 b 3 Lecture # 1 Unit 3.1 b Contents: 1.Fundamental and Derived units 2.Table 1. SI base units 3.Table 2. Examples of SI.

.g. volume, mass, length, speed, time, work and density etc. 42 Lecture # 5 Unit 3.3 b Contents: 1.1st Equation Of Linear Motion For Constant Linear Acceleration 2.Example of Equation # 1 3.2nd Equation of Linear Motion for Constant Linear Acceleration 4.Example Of Equation # 2 5. 3rd Equation of Linear Motion for Constant Linear Acceleration 6.Example of Equation # 3 7.Distance, Time graph 8.Velocity, Time graph 43 1 st Equation Of Linear Motion For Constant Linear Acceleration If an object is/

Welcome to Physics B Trina Merrick MCHS *Slides/material thanks to Dr. Peggy Bertrand of Oak Ridge High School, Oak Ridge,TN.

(speed) d = distance  t = elapsed time  SI unit: m/s Average speed is always a positive number. Average Velocity  How fast the displacement of a particle is changing.  v ave = ∆x ∆t where: v ave = average velocity ∆x = displacement ∆t = change in time  SI unit: m/s Average velocity is/of mile marker 0 traveling at 30.0 m/s due south. Car A is speeding up with an acceleration of magnitude 1.5 m/s 2, and car B is slowing down with an acceleration of magnitude 2.0 m/s 2. Write x-vs-t equation of motion/

Chapter 2 Describing Motion: Kinematics in One Dimension.

change in position of an object. Average speed is the distance traveled divided by the time it took; average velocity is the displacement divided by the time. Instantaneous velocity is the limit as the time becomes infinitesimally short. Summary of Chapter 2 Average acceleration is the change in velocity divided by the time. Instantaneous acceleration is the limit as the time interval becomes infinitesimally small. The equations of motion for constant acceleration are given/

Chapter 2 Motion in One Dimension. Kinematics Describes motion while ignoring the external agents that might have caused or modified the motion For now,

velocity in terms of acceleration and displacement Does not give any information about the time Section 2.6 When a = 0 When the acceleration is zero,  v xf = v xi = v x  x f = x i + v x t The constant acceleration model reduces to the constant velocity model. Section 2.6 Kinematic Equations – summary Section 2.6 Graphical Look at Motion: Displacement – Time curve The slope of the curve is the velocity/

Kinematics The Language of Motion. What’s a Kinematic? Kinematics is the science of describing the motion of objects using words, diagrams, numbers, graphs,

basis associated with them. While our emphasis will often be upon the conceptual nature of physics, we will give considerable and persistent attention to its mathematical aspect. Words and Quantities The motion of objects can be described by words - words such as distance, displacement, speed, velocity, and acceleration. These mathematical quantities which are used to describe the motion of objects can be divided into two categories. The quantity is either a vector or/

AP Physics Chapter 2 Kinematics: Description of Motion.

. __________ 4. The speed limit sign says 45 mph. __________ Physics Daily Warmup #16 instantaneous average instantaneous 2.4 Kinematics Equations (Constant Acceleration) By combining the formulas and descriptions of motion we have learned so far, we can derive three basic equations. 1) velocity as a function of time 2) displacement as a function of time 3) velocity as a function of displacement Choose the equation that has three of your known variables, and solve for the/

CHAPTER 13 : OSCILLATORY MOTION 13.1) Simple Harmonic Motion Consider a physical system that consists of a block of mass m attached to the end of a spring,

equation : Where t is in seconds and the angles in the parentheses are in radians. (a)Determine the amplitude, frequency, and period of the motion. (b)Calculate the velocity and acceleration of the object at any time t. (c)Using the results of part (b), determine the position, velocity, and acceleration of the object at t = 1.00 s. (d)Determine the maximum speed and maximum acceleration of the object. (e)Find the displacement of the object between t = 0 and/

Unit B01 – Motion in One Dimension [UNAUTHORIZED COPYING OR USE OF ANY PART OF ANY ONE OF THESE SLIDES IS ILLEGAL.]

 0 (F)  0 Section 2-5: Motion at Constant Acceleration Write the equation for velocity as a function of time for constant acceleration. Write the equation for average velocity under constant acceleration. Section 2-5: Motion at Constant Acceleration Write the equation for position as a function of time for constant acceleration. Write the equation that relates velocity, acceleration, and position (the “no time” equation). Section 2-5: Motion at Constant Acceleration Identify every symbol that you used in/

Chapter 1 Clickers © 2014 Pearson Education, Inc. Kinematics: Motion in One Dimension Prepared by Dedra Demaree, Georgetown University.

finding the height times the width of the velocity graph. c)This yields a result consistent with applying the equation for linear motion. d)All of the above are true. © 2014 Pearson Education, Inc. Which of the following situations corresponds to a positive acceleration? a)An object moving in the –x direction and slowing down b)An object moving in the –x direction and speeding up c)An object moving/

DISPLACEMENT AND VELOCITY Chapter 2-1. Objectives Describe motion in terms of frame of reference, displacement, time and velocity. Calculate displacement,

Equations of Kinematics for Constant Acceleration For one dimensional motion it is customary to dispense with the use of boldface symbols overdrawn with arrows for the displacement, velocity, and acceleration vectors. We will, however, continue to convey the directions with a plus or minus sign. 2.4 Equations of Kinematics for Constant Acceleration Let the object be at the origin when the clock starts. 2.4 Equations of Kinematics for Constant Acceleration Equations of Kinematics for Constant Acceleration/

Chapter 2 Motion in One Dimension. Position Defined in terms of a frame of reference ▫One dimensional, so generally the x- or y- axis Point Particle.

total time elapsed ▫Speed is a scalar quantity Speed, cont Average speed totally ignores any variations in the object’s actual motion during the trip May be, but is not necessarily, the magnitude of the velocity The total distance and the total time are all that is important SI units are m/s ▫same units as velocity Other ways of representing the same equation Slope Graphical Interpretation of Velocity Velocity can be determined from/

© Houghton Mifflin Harcourt Publishing Company The student is expected to: Chapter 2 Section 1 Displacement and Velocity TEKS 4A generate and interpret.

using equations with the concepts of distance, displacement, speed, average velocity, instantaneous velocity, and acceleration 4F identify and describe motion relative to different frames of reference © Houghton Mifflin Harcourt Publishing Company Preview Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically Chapter 2 Section 1 Displacement and Velocity © Houghton Mifflin Harcourt Publishing Company Section 1 Displacement and Velocity Chapter/

Motion in One DimensionSection 1 Distance The actual path length traveled by an object in motion A scalar quantity Positive values only.

the average velocity in km/min and in km/h. –Answer: 1.2 km/min to the north or 72 km/h to the north Motion in One DimensionSection 1 Speed Speed does not include direction while velocity does. Speed uses distance rather than displacement. In a round trip, the average velocity is zero but the average speed is not zero. Motion in One DimensionSection 1 Instantaneous Velocity Velocity at a single instant of time/

EVERYTHING MOVES!!!!! THERE IS NO APSOLUTE REST!!!! together with the whole galaxy moving away from the center of the Universe at huge speed. Measurements,

. So why is concept of velocity so important? if motion is 1-D without changing direction; speed = magnitude of velocity because speed = magnitude of velocity because distance traveled = magnitude of displacement instantaneous speed = magnitude of instantaneous velocity Because acceleration is a vector, all of equations are vector equations Because acceleration is a vector, all of equations are vector equations. Acceleration can be in any direction to the velocity and the motion will depend on that. ONLY/

Chapter 2 Motion in One Dimension. Kinematics Describes motion while ignoring the external agents that might have caused or modified the motion For now,

velocity in terms of acceleration and displacement Does not give any information about the time Section 2.6 When a = 0 When the acceleration is zero,  v xf = v xi = v x  x f = x i + v x t The constant acceleration model reduces to the constant velocity model. Section 2.6 Kinematic Equations – summary Section 2.6 Graphical Look at Motion: Displacement – Time curve The slope of the curve is the velocity/

EVERYTHING MOVES!!!!! THERE IS NO APSOLUTE REST!!!! together with the whole galaxy moving away from the center of the Universe at huge speed. Measurements,

. So why is concept of velocity so important? if motion is 1-D without changing direction; speed = magnitude of velocity because speed = magnitude of velocity because distance traveled = magnitude of displacement instantaneous speed = magnitude of instantaneous velocity Because acceleration is a vector, all of equations are vector equations Because acceleration is a vector, all of equations are vector equations. Acceleration can be in any direction to the velocity and the motion will depend on that. ONLY/

Motion. Some Motion Terms Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector.

Motion Some Motion Terms Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector Scalar versus Vector Scalar - magnitude only (e.g. volume, mass, time) Vector - magnitude & direction (e.g. weight, velocity, acceleration) Pictorial Representation An arrow represents a vector – Length = magnitude of vector – Direction = direction of vector Pictorial Representation This arrow could represent a vector of magnitude 10 point to the “right” This arrow could represent a vector of /

Describing Motion KINEMATICS in One Dimension Chapter 2 “To understand motion is to understand nature.” Leonardo da Vinci.

START v 4s3s2s1s0 a x Slowing up in - direction a and v OPP direction 5s START v 4s3s2s1s 0 a x Speeding up in - direction a and v SAME direction 5s Displacement and velocity are in the direction of motion When acceleration is in the SAME direction as velocity, the object is speeding up When acceleration is in the OPPOSITE direction to velocity, the object is slowing down START 4s3s2s1s5s x t=5/

Chapter 3 : Motion Weerachai Siripunvaraporn Department of Physics, Faculty of Science Mahidol University &msn :

vertical direction, but sign will be determined by coordinate system. X-Dir : motionY-Dir : motion Before (1-D) & Now (2-D) 2-D motion Terms used to describe 2-D motion Position Distance & Displacement Speed & Velocity Average & Instantaneous Acceleration Average & Instantaneous Position and Displacement The position of an object is described by its position vector, The displacement of the object is defined as the change in its position. CH4 In two- or three/