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Methods of Indirect Measurement Common angle method using ...

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2. Obtain accelerometer data (and barometric pressure data, if possible) for Mr. Freeze.<br />

That data should help you with the following problems.<br />

Definition: Let h(t) be the function that indicates the rider’s height above the ground at<br />

time t. Assume that the domain for h is limited to the portion <strong>of</strong> the ride clearly<br />

visible in the picture and you may choose to limit the domain to EITHER the<br />

portion <strong>of</strong> the ride where the train moves only forward OR only backward, if you<br />

wish.<br />

3. Sketch a graph <strong>of</strong> h(t). Indicate on the photo and on the graph the extrema<br />

(maxima/minima) for h(t).<br />

4. Sketch a graph <strong>of</strong> h’(t). Indicate on the photo and on the graph where, if at all, h’(t) is<br />

positive. If nowhere, why not?<br />

5. Sketch a graph <strong>of</strong> h’’(t). Indicate on the photo and on the graph where, if at all, h’’(t)<br />

is positive. If nowhere, why not?<br />

6. Regarding the function h(t), tell me what you know about continuity, differentiability,<br />

increasing/decreasing/monotonicity, and concavity. You might choose to discuss<br />

what would happen if some condition is violated; for example, what if h(t) lacked<br />

continuity, differentiability, etc.?

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