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Dynamics_Hibbeler_CH12_3 - RECTILINEAR KINEMATICS ERRATIC...

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RECTILINEAR KINEMATICS: ERRATIC MOTION Today’s Objectives: Students will be able to: 1. Determine position, velocity, and acceleration of a particle using graphs . In-Class Activities: Check Homework Reading Quiz Applications s-t, v-t, a-t, v-s, and a-s diagrams Concept Quiz Group Problem Solving Attention Quiz
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READING QUIZ 1. The slope of a v-t graph at any instant represents instantaneous A) velocity. B) acceleration. C) position. D) jerk. 2. Displacement of a particle in a given time interval equals the area under the ___ graph during that time. A) a-t B) a-s C) v-t C) s-t
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APPLICATION In many experiments, a velocity versus position (v-s) profile is obtained. If we have a v-s graph for the tank truck, how can we determine its acceleration at position s = 1500 feet?
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ERRATIC MOTION (Section 12.3) The approach builds on the facts that slope and differentiation are linked and that integration can be thought of as finding the area under a curve. Graphing provides a good way to handle complex motions that would be difficult to describe with formulas. Graphs also provide a visual description of motion and reinforce the calculus concepts of differentiation and integration as used in dynamics.
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