Average speed Instantaneous speed Acceleration

Slides:



Advertisements
Similar presentations
Chapter 2 Preview Objectives One Dimensional Motion Displacement
Advertisements

Motion in One Dimension
CH 2: 1D motion.
Warm Up A particle moves vertically(in inches)along the x-axis according to the position equation x(t) = t4 – 18t2 + 7t – 4, where t represents seconds.
Kinematics – describes the motion of object without causes that leaded to the motion We are not interested in details of the object (it can be car, person,
Q2.1 This is the x–t graph of the motion of a particle. Of the four points P, Q, R, and S, 1. the velocity vx is greatest (most positive) at point P 2.
3-instvelacc Review Three cars are starting on a 30-mile trip. They start at the same time, and arrive ½ hour later. Slow start, then becoming faster Fast.
Table of Contents 2 Chapter 2 Motion.
General Physics 1, additional questions, By/ T.A. Eleyan
Chapter 2: Kinematics in one Dimension
Motion Along a Straight Line
Kinematics Goals: understand graphs of a) position versus time, b) velocity versus time.
Physics 101: Lecture 5, Pg 1 Lecture 5: Introduction to Physics PHY101 Chapter 2: Distance and Displacement, Speed and Velocity (2.1,2.2) Acceleration.
Practicing with Graphs
Montwood High School Physics R. Casao
Displacement and Velocity Chapter 2 Section 1. Displacement Definitions Displacement – The change in position of an object from one point to another in.
Motion Graphing Position vs. Time Graphs
Linear Kinematics. Kinematics Study of motion of objects without regard to the causes of this motion.
Chapter 2 Preview Objectives One Dimensional Motion Displacement
Motion of an object is the continuous change in the position of that object. In this chapter we shall consider the motion of a particle in a straight.
Motion in One Dimension
1 Chapter 2 Motion in One Dimension Kinematics Describes motion while ignoring the agents that caused the motion For now, will consider motion.
قسم الفيزياء - فيزياء عامة 1 - كلية التربية بالجبيل - جامعة الدمام د. غادة عميرة Motion in One Dimension.
Motion in One Dimension
Motion in One Dimension Average Versus Instantaneous.
Problems Ch(1-3).
Chapter 2 Motion in One Dimension 2-1 Displacement and Velocity  Motion – takes place over time Object’s change in position is relative to a reference.
Motion in One DimensionSection 1 Preview Section 1 Displacement and VelocityDisplacement and Velocity Section 2 AccelerationAcceleration Section 3 Falling.
Mechanics 105 Motion diagrams, position-time graphs, etc. Average and instantaneous velocity Acceleration Particle under constant acceleration Freefall.
Problems Ch(1-3).
© Houghton Mifflin Harcourt Publishing Company The student is expected to: Chapter 2 Section 1 Displacement and Velocity TEKS 4A generate and interpret.
X is the magnitude of a position v is the magnitude of the velocity, sometimes speed a is the magnitude of acceleration t is time Δ represents a change,
3024 Rectilinear Motion AP Calculus On a line. Position Defn: Rectilinear Motion: Movement of object in either direction along a coordinate line (x-axis,
Week 3 Day 1: Topics Particle Model General Motion Model
Chapter 3 Acceleration Lecture 1
MOTION IN A STRAIGHT LINE GRAPHICALLY. Equations of motion (Acceleration is constant)
Chapter 2 Motion in One Dimension. Kinematics Describes motion while ignoring the external agents that might have caused or modified the motion For now,
Chapter 2: Motion.  A train travels 150 km in 3 hours. It is traveling directly from south towards the north.  What is the speed of the train?  What.
One-dimensional motion Chapter 2 Motion in 1-D PHY211 Dr. Aaron Titus Note that all definitions, terms, conclusions, and analysis applies to motion in.
I.A.1 – Kinematics: Motion in One Dimension. Is the book moving?
Chapter 2: Kinematics in one Dimension Displacement Velocity Acceleration HW2: Chap. 2: pb.3,pb.8,pb.12,pb.22,pb.27,pb.29,pb.46 DUE on Wednesday, Sept.
SECT. 3-A POSITION, VELOCITY, AND ACCELERATION. Position function - gives the location of an object at time t, usually s(t), x(t) or y(t) Velocity - The.
Motion in One Dimension dx dt x t Displacement 2-02 Velocity 2-03 Acceleration 2-04 Motion Diagrams Motion in One Dimension Sections 2-05 One Dimensional.
© Houghton Mifflin Harcourt Publishing Company Preview Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting.
MOTION IN ONE DIMENSION AVERAGE / INSTANTANEOUS SPEED POSITION AND DISPLACEMENT AVERAGE / INSTANTANEOUS VELOCITY AVERAGE / INSTANTANEOUS ACCELERATION.
Chapter 2 MOTION IN ONE DIMENSION. Particle: A point-like object – that is, an object with mass but having infinitesimal size.
Ch 2 Velocity ~Motion in One Dimension~. Scalar versus Vector Scalar – quantity that only has magnitude Vector – quantity that has magnitude and direction.
Chapter 2 Homework #1 Questions: 2,3,4,5,6,9,16, 17 Problems: 1,2,5,6,9,8,13, 17, 20,22,23,26, 27,28 Due Sept 29 Quiz on Section 1-6 on Sept 29.
l The study of HOW objects move: è Graphs è Equations è Motion maps è Verbal descriptions Kinematics-1.
Physics for Scientists and Engineers, 6e Chapter 2 – Motion in One Dimension.
3023 Rectilinear Motion AP Calculus. Position Defn: Rectilinear Motion: Movement of object in either direction along a coordinate line (x-axis, or y-axis)
Ch-2: Motion Along a Straight Line One purpose of physics is to study the motion of objects—how fast they move, for example, and how far they move in a.
Chapter 2 Motion Along a Straight Line 2-0. Mathematical Concept 2.1. What is Physics? 2.2. Motion 2.3. Position and Displacement 2.4. Average Velocity.
Motion Along a Straight Line Chapter 3. Position, Displacement, and Average Velocity Kinematics is the classification and comparison of motions For this.
Ch-2: Motion Along a Straight Line One purpose of physics is to study the motion of objects—how fast they move, for example, and how far they move in a.
Chapter 2 Motion in ONE dimension. Displacement This chapter we are only doing to study motion in one direction. This chapter we are only doing to study.
List the three (3) equations used in this chapter.
Motion in One Dimension Physics Lecture Notes dx dt x t h h/ 2 g Motion in One Dimension.
Sect. 3-A Position, Velocity, and Acceleration
Unit 2 Test Review.
Motion in One Dimension
CHAPTER 3 ACCELERATED MOTION
Chap. 2: Kinematics in one Dimension
Non-Constant Velocity
Lecture 2 Chapter ( 2 ).
Section 3.7 Calculus AP/Dual, Revised ©2013
MOTION IN A STRAIGHT LINE GRAPHICALLY
Section 1 Displacement and Velocity
MOTION IN A STRAIGHT LINE GRAPHICALLY
MOTION IN A STRAIGHT LINE GRAPHICALLY
Presentation transcript:

Average speed Instantaneous speed Acceleration Chapter 2 – part A Average speed Instantaneous speed Acceleration

Preliminary information      

Exercise 2.3 3. The position versus time for a certain particle moving along the x axis is shown in Figure P2.3. Find the average velocity in the time intervals (a) 0 to 2 s, (b) 0 to 4 s, (c) 2 s to 4 s, (d) 4 s to 7 s, and (e) 0 to 8 s.

Exercise 2.8 (modified) 8. Find the instantaneous velocity of the particle described in Figure P2.5 at the following times: (a) t = 1.0 s, (b) t = 3.0 s, (c) t = 4.5 s, (d) t = 7.5 s.

Question 2.2 and 2.6 2.2 The average velocity of a particle moving in one dimension has a positive value. A) Is it possible for the instantaneous velocity to have been negative at any time in the interval? B) Suppose the particle started at the origin x=0. If its average velocity is positive, could the particle aver have been in the –x region of the axis? 2.6 An object’s average velocity is zero over some time interval. Show that the instantaneous velocity must be zero at some time during the interval. It may be useful in your proof to sketch the graph of x versus t and to note that vx(t) is a continuos function.

Exercise 2.10 10. A 50.0-g superball traveling at 25.0 m/s bounces off a brick wall and rebounds at 22.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.50 ms, what is the magnitude of the average acceleration of the ball during this time interval? (Note: 1 ms = 10–3 s.)

Exercise 2.12 12. An object moves along the x axis according to the equation x(t) = (3.00t2 – 2.00t + 3.00) m, where t is in seconds. Determine: (a) the average speed between t = 2.00 s and t = 3.00 s, (b) the instantaneous speed at t = 2.00 s and at t = 3.00 s, (c) the average acceleration between t = 2.00 s and t = 3.00 s, (d) the instantaneous acceleration at t = 2.00 s and t = 3.00 s.

Exercise 2.14 14. A student drives a moped along a straight road as described by the velocity versus time graph in Figure P2.14. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the vx-t graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6 s? (d) Find the position (relative to the starting point) at t = 6 s. (e) What is the moped’s final position at t = 9 s?

Exercise 2.15 15. Figure P2.15 shows a graph of vx versus t for the motion of a motorcyclist as he starts from rest and moves along the road in a straight line. (a) Find the average acceleration for the time interval t = 0 to t = 6.00 s. (b) Estimate the time at which the acceleration has its greatest positive value and the value of the acceleration at that instant. (c) When is the acceleration zero? (d) Estimate the maximum negative value of the acceleration and the time at which it occurs.

Questions 2.9 and 2.10 Two cars are moving in the same direction in parallel lanes along a highway. At some instant, the velocity of car A exceeds the velocity of car B. Does that mean that the acceleration of A is greater than that of B? Explain Is it possible for the velocity and acceleration of an object to have opposite signs? If not, state a proof. If so, give an example of such a situation and sketch a velocity-time graph to prove your point.