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Methods of Indirect Measurement Common angle method using ...

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Calculus Concepts 7<br />

MO CLEs<br />

A3AAlg1<br />

A3AGeom<br />

A3AInt2<br />

A3AAlg2<br />

A3AInt3<br />

A4AAlg1<br />

A4AGeom<br />

A4AInt2<br />

A4AAlg2<br />

A4AInt3<br />

1. You may obtain your own photo, though these photos <strong>of</strong> The Screaming Eagle<br />

captures the entire first drop and first hill .<br />

2. If possible, obtain accelerometer data (and barometric pressure data, if also possible)<br />

for The Screaming Eagle. That data should help you with the following<br />

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. You may choose to exclude from the domain the ascent, if<br />

you 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?

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