Let us consider in detail the relation of positions and times in a small interval of...

     

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Let us consider in detail the relation of positions and times in a small interval of motion. The table below gives the position of a moving object at various times. Time (seconds) 6.72 6.73 6.74 6.75 6.76 6.77 6.78 6.79 6.80 6.81 6.82 Position (cm) 14.8762 17.3335 19.7915 22.2502 24.7096 27.1697 29.6305 32.0920 34.5542 37.0171 39.4807 A. This motion is not perfectly uniform. How can you tell? B. The motion is, however, very nearly uniform. Calculate Ax/At for the entire interval shown. .C. Suppose that, instead of moving as shown in the table, the object moved with uniform motion for 0.03 second with the velocity that you calculated in part B. If it started at position 14.8762 cm, where would it be after 0.03 second? D. Where was the object actually located at t = 6.75 seconds according to the table? How well does the uniform motion calculation in part C compare with the actual position? E. Compute Ax/At for each 0.01-second interval. How do these numbers compare with each other? How do these numbers compare with your result in part B? F. Explain why we can say that the motion in the 0.01-second interval is very nearly uniform. Let us consider in detail the relation of positions and times in a small interval of motion. The table below gives the position of a moving object at various times. Time (seconds) 6.72 6.73 6.74 6.75 6.76 6.77 6.78 6.79 6.80 6.81 6.82 Position (cm) 14.8762 17.3335 19.7915 22.2502 24.7096 27.1697 29.6305 32.0920 34.5542 37.0171 39.4807 A. This motion is not perfectly uniform. How can you tell? B. The motion is, however, very nearly uniform. Calculate Ax/At for the entire interval shown. .C. Suppose that, instead of moving as shown in the table, the object moved with uniform motion for 0.03 second with the velocity that you calculated in part B. If it started at position 14.8762 cm, where would it be after 0.03 second? D. Where was the object actually located at t = 6.75 seconds according to the table? How well does the uniform motion calculation in part C compare with the actual position? E. Compute Ax/At for each 0.01-second interval. How do these numbers compare with each other? How do these numbers compare with your result in part B? F. Explain why we can say that the motion in the 0.01-second interval is very nearly uniform.

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A The motion is not perfectly uniform because because the positions are not equally spaced at differ... View the full answer