Methods of Indirect Measurement Common angle method using ...

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$9.7 calculus 09-10 bc.notebook - Steve Willott's Math Help Site$

Calculus Concepts 3 MO CLEs A3AAlg1 A3AGeom A3AInt2 A3AAlg2 A3AInt3 A4AAlg1 A4AGeom A4AInt2 A4AAlg2 A4AInt3 1. You may obtain your own photo, though this photo of Batman captures the initial drop, first loop, and the beginning of the roll.
2. If possible, obtain accelerometer data (and barometric pressure data, if also possible) for Batman. That data should help you with the following problems. Definition: Let h(t) be the function that indicates the rider’s height above the ground at time t. Assume that the domain for h is limited to the portion of the ride clearly visible in the picture, the ascent, drop, loop, and roll. 3. Sketch a graph of h(t). Indicate on the photo and on the graph the extrema (maxima/minima) for h(t). 4. Sketch a graph of h’(t). Indicate on the photo and on the graph where, if at all, h’(t) is positive. If nowhere, why not? 5. Sketch a graph of h’’(t). Indicate on the photo and on the graph where, if at all, h’’(t) is positive. If nowhere, why not? 6. Regarding the function h(t), tell me what you know about continuity, differentiability, increasing/decreasing/monotonicity, and concavity. You might choose to discuss what would happen if some condition is violated; for example, what if h(t) lacked continuity, differentiability, etc.?
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Page 73 and 74: Name ______________________________
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