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©2008 by W.H. Freeman and Company Displacement There is a distinction between distance and displacement. Displacement (blue line) is how far the object is from its starting point, regardless of how it got there. Distance traveled (dashed line) is measured along the actual path.
©2008 by W.H. Freeman and Company Displacement Left: Displacement is positive. Right: Displacement is negative. The displacement is written:
©2008 by W.H. Freeman and Company Average Velocity Speed: how far an object travels in a given time interval Velocity includes directional information:
©2008 by W.H. Freeman and Company A particle at t1 = -2.0 s is at x1= 3.4 cm and at t2 = 4.5 s is at x2= 8.5 cm. What is its average velocity? Can you calculate its average speed from these data? The average velocity is given by The average speed cannot be calculated. To calculate the average speed, we would need to know the actual distance traveled, and it is not given.
©2008 by W.H. Freeman and Company An airplane travels 3100 km at a speed of 790 km/h and then encounters a tailwind that boosts its speed to 990 km/h for the next 2800 km. What was the total time for the trip? What was the average speed of the plane for this trip? The average speed of the plane for the entire trip is. The average speed for each segment of the trip is given by, so for each segment. For the second segment, Thus the total time is For the first segment,
Chapter 2 Describing Motion: Kinematics in One Dimension.
Warm Up A particle moves vertically(in inches)along the x-axis according to the position equation x(t) = t 4 – 18t 2 + 7t – 4, where t represents seconds.
Lecture PowerPoints Chapter 2 Physics: Principles with Applications, 6 th edition Giancoli.
Summarize things so far… Distance (m) Time (sec) What is the object’s speed from: 0-3 sec: 3-5 sec: 5-11 sec:
Movement Aim: How can we distinguish between speed, velocity and acceleration?
Chapter 2: Vocabulary Review Make sure that you have a “hand” icon and not an “arrow” before clicking on the screen. Click on the correct vocabulary term.
Straight Line Motion Looking at position, velocity, and acceleration from the integral.
Starter 1 (1-D) A car travels 100 km from city A to city B. If the first half of the distance is driven at 50 km/h and the second half is driven at 100.
Preview Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically Chapter 2 Section 1 Displacement.
Position and Motion New and Improved!. What is motion? Motion is when an object changes position. How do you know that the racecar moved? –It changed.
Section 1 p A change in position Motion occurs when something changes position relative to a point of reference.
Velocity - The rate at which the position of an object changes with time in a particular direction. There are two ways we discuss velocity. Average velocity.
Mechanics Rotation, Angular Momentum and Gravity.
Measuring Motion. Words to Know speed magnitude velocity acceleration.
Warm Up Determine the anti-derivative. Then differentiate your answer to check your work Evaluate the definite integral: 3.
The four kinematic equations which describe an object's motion are: There are a variety of symbols used in the above equations and each symbol has a specific.
CH 2: 1D motion. When we discuss motion what are we talking about? Translation – motion from one point to another along a straight line. Rotation – motion.
Choose a category. You will be given the answer. You must give the correct question. Click to begin.
Chapter 4. Motion An objects change in position relative to a reference point When an object changes position with respect to a frame of reference,
Where and When?! Ch. 3 Section 2. Coordinate Systems Tells you where the zero point of the variable is located and the direction in which the values measured.
Motion Review 8th Grade Force and Motion Investigations 1-4 Summary.
Chapter 2 Notes. Scientific models Used to solve complex questions 3 types Physical model- Something you can physically manipulate The car and ramp are.
Methods of Motion AP Physics C. Displacement Displacement (x or y) "Change in position" It is not necessarily the total distance traveled. In fact, displacement.
Motion and Force A. Motion 1. Motion is a change in position 2. Reference points are necessary.
Chapter 4. Motion An object’s change in position relative to a reference point When an object changes position with respect to a frame of reference,
Derivation of Kinematic Equations Where do the equations come from?
Matter and Motion You know an object is in motion if it is changing position. You know an object is changing position if it moves relative to a reference.
Kinematics: What is velocity and acceleration? Lets Review v = d t Distance traveled (m) Time taken (sec) Average Velocity (m/sec) Instantaneous Velocity:
Ch. 2 Conceptual Practice AP Physics B 21 questions…have phun. Answers are provided after the quiz (slides 24-44).
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