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 . + . 3. Applications of Newton’s Laws in 1 dimension. Free Fall. Motion in a Fluid. Spring motion. Molecular Dynamics. Free fall. Acceleration = g = 9.8 m/s. 2. = constant. Constant acceleration implies constant force = weight. Objectives:. Learn the 4 motion equations for 1 dimensional motion . when acceleration is constant. a = . Δ. v. Δ. t. 1. . Kinematics . Equation 1. Motion at Constant Acceleration. but since "Δ" means change. Kinematics (. الحركيات. ): . A . branch (. فرع. ,. شعبة. ) . of . mechanics (. علم الميكانيكا. ) . in which we study motion of an object without knowing its . cause (. سبب. Use the units of mass, length, and time.. Define displacement, velocity, and acceleration.. Use the units of displacement, velocity, and acceleration.. Measure velocity and acceleration.. Use distance-time and velocity-time graphs.. Chapter 2. Kinematics. deals with the concepts that . are needed to describe motion.. Dynamics . deals with the effect that forces. have on motion.. Together, kinematics and dynamics form. the branch of physics known as . 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. Equations of Motion for Constant Resultant Force. Also called ….. because………. …acceleration and resultant force are directly proportional. . s. uvat. equations. Also called ….. (unhelpfully). Sub units. Reference Frames and Displacement. Average Velocity. Instantaneous Velocity. Acceleration. Motion at Constant Acceleration. Solving Problems. Falling Objects. Graphical Analysis of Linear Motion. Separation of motion in x-and y-direction . Equations for 2-d kinematics at constant acceleration. Projectile motion. Lecture 4: Motion in two dimensions. Velocity. , . .  . Position vector . . 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.. 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. Describing motion is occasionally difficult to do with words. Graphs can help simplify this description greatly. Position = Distance from a starting point. Velocity = rate of change in position. Acceleration = rate of change in velocity.