PPT-Rectilinear Motion and Tangent Lines

Alyssa Cobranchi AP Calculus Rectilinear Motion Introduction Rectilinear Motion is the movement of a particle on a straight line It is an application of the derivative of a function Some examples can include a race car moving along a straight track an object thrown from the top of a building and falling straight down or a ball thrown straight up and then falling straight down. Lecture 8: Tuesday, 9/15/15. Today’s Objective. Kinetics of rectilinear motion. . What is Kinetics?. Kinetics is the study of the relations between unbalanced forces and the resulting changes in . Sections 4.2 and 4.3. Updates & Reminders. The date and time of the final: Thursday, December 11 from 10 a.m. to 12 p.m. MLT 208. . There is no lab this week.. Test #1 will take place on Thursday, 9/18.. Recitation . 3. Distance Measures. Rectilinear distance (L. 1. norm). d(X, P. i. ) = |x - a. i. | + |y - b. i. |. Straight line or Euclidean distance (L. 2. norm). d(X, P. i. ) =. Tchebyshev distance (L. Tangent Lines. Average Rate of Change. The . average rate of change. of a quantity over a period of time is the slope on that interval of time.. Ex.:. . Find the average rate of change of . f(x) = x. RATHER DRAWING. DEEPAK SAMEER JHA. LOVELY SCHOOL ENGINEERING. WHAT DO YOU UNDERSTAND LOOKING AT THE FIGURES SHOWN BELOW?. SQUARE PLANE. RECTANGULAR PLANE. CIRCULAR. DISC. C. Y. L. I. ND. E. R. C. ONE. Find the equations of tangents at given points. Find the points on the curve if tangent slope is known. Find equations of tangents . parallel. to given lines through a given point.. Find equations of tangents . A brief journey into Section . 4.5a. Analysis of the Tangent Function. by. Domain: All . reals. except odd. multiples of. Range:. Continuous on its domain. Increasing on each interval in. i. ts domain. GENERAL & RECTANGULAR COMPONENTS. Today’s Objectives. :. Students will be able to:. Describe the motion of a particle traveling along a curved path.. Relate kinematic quantities in terms of the rectangular components of the vectors.. RATHER DRAWING. DEEPAK SAMEER JHA. LOVELY SCHOOL ENGINEERING. WHAT DO YOU UNDERSTAND LOOKING AT THE FIGURES SHOWN BELOW?. SQUARE PLANE. RECTANGULAR PLANE. CIRCULAR. DISC. C. Y. L. I. ND. E. R. C. ONE. LARGE-AMPLITUDE MOTION . MODELS: NEW HYBRID HAMILTONIAN . VER. SUS . OLD PURE-TUNNELING HAMILTONIAN. . Isabelle . Kleiner. a. and Jon T. . Hougen. b. a. LISA. , . Université. de Paris Est and CNRS, . Carry the motion over a distance. And. Change the type of motion. Transmission of motion. A group of simple machines can work together to make a . system. .. A system can transmit or carry the motion from one object to another.. © 2012 Project Lead The Way, Inc.. Introduction to Engineering Design. Sketching an Isometric Circle. Circular features and cylindrical forms are common in engineering designs, and appear as . ellipses. Obstacles in . the Plane. Haitao Wang. Utah State University. SoCG. 2017, Brisbane, Australia. The . rectilinear. . minimum-link. path problem. Input: a . rectilinear. . domain P of . n. vertices and . Write the 3 steps to determine if a function is continuous . 1. ) F . is defined at c; that is, c is in the domain of f so that f(c) equals a #.. 2) . 3) . *So the same output is approached from both sides. .