MasteringPhysics-HW02 - 4/12/10 10:26 AM MasteringPhysics...

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4/12/10 10:26 AM MasteringPhysics Page 1 of 45 Manage this Assignment: Print Version with Answers Homework assignment 2 (covers Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6) Due: 2:00am on Monday, April 12, 2010 Note: You will receive no credit for late submissions. To learn more, read your instructor's Grading Policy First review Sections 2.1, 2.2, 2.3, 2.4, 2.5, and 2.6 of Young and Freedman, including the worked examples. You should then be able to solve the problems given below. Note that you are allowed only 6 answer attempts per problem. Given Positions, Find Velocity and Acceleration Description: Given a table of position versus time, identify graphs of an object's trajectory, 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) 0 1 2 3 4 5 6 7 8 9 x (m) 0 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 A bounded and nonspiky acceleration results in a smooth graph of vs. . ANSWER: 1 2 3 4 Part B Which of the following graphs best represents the function , describing the object's velocity as a function of time? [ Print ]
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4/12/10 10:26 AM MasteringPhysics Page 2 of 45 Hint B.1 Find the velocity toward the end of the motion Velocity is the time derivative of displacement. Given this, the velocity toward the end of the motion is __________. ANSWER: positive and increasing positive and decreasing negative and increasing negative and decreasing This narrows the options down to either graph 1 or 4. Hint B.2 What are the implications of zero velocity? Two of the possible velocity vs. time graphs indicate zero velocity between and . What would the corresponding position vs. time graph look like in this region? ANSWER: a horizontal line straight but sloping up to the right straight but sloping down to the right curved upward curved downward So graphs 1 and 2 are incorrect. Hint B.3 Specify the characteristics of the velocity function The problem states that "the acceleration of the object is bounded and contains no spikes." This means that the velocity ___________. ANSWER: has spikes has no discontinuities has no abrupt changes of slope is constant Which graph or graphs satisfy this condition? 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
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