Question
II
I do not even know where to truly begin on this problem. If anyone could provide some assitance, it would be grealy appreciated. Thanks!
Show all work. Draw diagrams and explain answers as needed. Partial credit is available. A jogger runs around a circular track of 30 m radius shown in the figure at the right. She runs at a constant speed in a clockwise direction and completes one lap in 40 seconds. Compare the directions and magnitudes of her instantaneous velocity at A, her instantaneous velocity at C, and her average velocity going from A to C. If the runner completes exactly one lap what is her average speed? Her average velocity? Explain your answer. Is the magnitude of her average velocity from A to B bigger, smaller or equal to the magnitude of her average velocity from A to C? Explain your reasoning. For this example, which do you think is more relevant: average speed or average velocity? For whichever one you chose can you think of an example in which the other one is more relevant or interesting? The three graphs below (two are velocity-time, one is position-time) describe one dimensional motions. Use one or more of the following terms to describe the motion depicted on each graph: "constant velocity", "constant acceleration", and/or "variable acceleration". In each case briefly explain why the term applies. Assume graph A represents the motion of an object tracked by a motion detector. Sketch graph A on your solution sheet and label the graph to show where the object is slowing down, speeding up, moving towards the detector, moving away from the detector, respectively. Consider the velocity-time graph below which describes the horizontal motion of an object and is referenced to the coordinate system also shown. x = 0 object At t=0 is the object moving left to right or right to left? How can you tell? Is the object accelerating? If so in which direction, left to right or right to left, is the acceleration directed? Explain your reasoning. Does the object continuously speed up, slow down, or do a little of both during the time interval displayed on the graph. Explain your answer and be specific. Assume that at t=0 the object is crossing the origin (x=0). Sketch a position-time graph (x-t) consistent with the velocity-time graph. The figure at the right represents the position vs. clock reading of the motion of two balls, A and B, moving on parallel tracks. Carefully sketch the figure on your homework paper and answer the following questions: Mark with the symbol ta along the t-axis any instant or instants at which one ball is passing the other. Explain your reasoning. Which ball is moving faster at clock reading tb? Mark with the symbol tc along the t-axis any instant or instants at which the balls have the same velocity. Explain your reasoning. Over the period of time show in the diagram, which of the following is true for ball B? It is speeding up all the time. It is slowing down all the time. It is speeding up part of the way and slowing down part of the way. Again explain your reasoning for your choice and be specific
Explanation / Answer
F'6 = f'(f(6))*f'(6) = 6*13 = 78
G'(6) = 2*F(6)*F'(6) = 2*3*78 from previous solution
G'(6) = 468