PPT-Motion with Constant Acceleration

Lesson 2 Position with Constant Acceleration The graph shows that the cars motion is not uniform The displacements for equal time intervals on the graph get larger and larger The slope of a positiontime graph of a car moving with a constant acceleration gets steeper as time goes on. Motion at Constant Acceleration . Giancoli. , Sec 2- 5, 6, 8. © 2006, B.J. . Lieb. t (s) . v ( m/s). a ( m/ s. 2. ) . 0. 0. 15. 1. 15. 15. 2. 30. 15. 3. 45. 15. 4. 60. 15. 5. 75. 15. Example 3-1. Consider . High Low. Thermally Driven Direct Circulation. Low High. Vertical and horizontal motion. Equation of Motion a . = . d. V. /. dt. = . G. + . P. z. . +. . P. n. . + . C . + . . (TG). Purpose:. This chapter introduces the ideal constant jerk S-curve (jerk is the derivative of acceleration), represented by a 2. nd. order polynomial in velocity. Its shape is governed by the motion conditions at the start and end of the transition.. What Is Motion?. Motion. is when an object changes place or position. To properly describe motion, you need to use the following:. Start and end position?. Movement relative to what?. How far did it go?. Kinematics (. الحركيات. ): . A . branch (. فرع. ,. شعبة. ) . of . mechanics (. علم الميكانيكا. ) . in which we study motion of an object without knowing its . cause (. سبب. a = 0 . case. no . acceleration  velocity is constant  v = . v. i. position . vs. time  . x. f. . = x . i. . + . v . t,. . x. i. . is the starting . position. acceleration = a = constant. a = 0 case. no acceleration  velocity is constant  v = v. i. position vs. time  . x. f. = x . i. + v t,. x. i. is the starting . position, . x. f. is the ending position. acceleration = a = constant. Chapter Goal: To extend the description of motion in one dimension to include changes in velocity. This type of motion is called . acceleration. .. © 2015 Pearson Education, Inc. . Chapter 3: Acceleration. Describe the speedometer on a car that is entering a highway, drives for 25 miles and then exits the highway.. Consider the two situations below. When a shuttle bus approaches a stop, the driver begins to apply the brakes to slow down 5.0 s before actually reaching the stop. The speed changes from 9.0 m/s to 0 m/s over time.. Sub units. Reference Frames and Displacement. Average Velocity. Instantaneous Velocity. Acceleration. Motion at Constant Acceleration. Solving Problems. Falling Objects. Graphical Analysis of Linear Motion. . Motion. Speed & Velocity. Acceleration. Newton’s First Law. Newton’s First Law of Motion. An object at rest will remain at rest and an object in motion will continue moving at a constant velocity unless acted upon by a net force.. Acceleration is a change in velocity. Speed or direction. Centripetal Acceleration. Acceleration can mean a change in direction, not just speed. Centripetal acceleration. Acceleration that occurs in a circular motion. V. ector quantity: . magnitude (value) & direction. R. ate . at which an object changes its velocity. . “. How fast an object is getting faster”. If the velocity of an object is changing, it is accelerating!. Motion in Two Dimensions. Using + or – signs is not always sufficient to fully describe motion in more than one dimension. Vectors can be used to more fully describe motion. Still interested in displacement, velocity, and acceleration.