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MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 1 of 15 10/11/08 11:14 PM [ Print View ] Physics 2211-001, Fall 2008 basic kinematics Due at 11:00pm on Sunday, August 24, 2008 View Grading Details Given Positions, Find Velocity and Acceleration Learning Goal: To understand how to graph position, velocity, and acceleration of an object starting with a table of positions vs. time. The table shows the x coordinate of a moving object. The position is tabulated at 1-s intervals. The x coordinate is indicated below each time. You should make the simplification that the acceleration of the object is bounded and contains no spikes. time (s) 1 2 3 4 5 6 7 8 9 x (m) 1 4 9 16 24 32 40 46 48 Part A Which graph best represents the function , describing the object's position vs. time? Hint A.1 Meaning of a bounded and nonspiky acceleration Hint not displayed ANSWER: 1 2 3 4 Part B [ Print ] MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 2 of 15 10/11/08 11:14 PM Which of the following graphs best represents the function , describing the object's velocity as a function of time? Part B.1 Find the velocity toward the end of the motion Part not displayed Part B.2 What are the implications of zero velocity? Part not displayed Part B.3 Specify the characteristics of the velocity function Part not displayed ANSWER: 1 2 3 4 In principle, you could also just compute and plot the average velocity. The expression for the average velocity is . The notation emphasizes that this is not an instantaneous velocity, but rather an average over an interval. After you compute this, you must put a single point on the graph of velocity vs. time. The most accurate place to plot the average velocity is at the middle of the time interval over which the average was computed. Also, you could work back and find the position from the velocity graph. The position of an object is the integral of its velocity. That is, the area under the graph of velocity vs. time from up to time must equal the position of the object at time . Check that the correct velocity vs. time graph gives you the correct position according to this method. Part C MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 3 of 15 10/11/08 11:14 PM Which of the following graphs best represents the function , describing the acceleration of this object? Part C.1 Find the acceleration toward the end of the motion Part not displayed Part C.2 Calculate the acceleration in the region of constant velocity Part not displayed Part C.3 Find the initial acceleration Part not displayed ANSWER: 1 2 3 4 In one dimension, a linear increase or decrease in the velocity of an object over a given time interval implies constant acceleration over that particular time interval. You can find the magnitude of the acceleration using the formula for average acceleration over a time interval:... View Full Document