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Methods of Indirect Measurement Common angle method using ...

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Calculus Concepts 5<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 this photo <strong>of</strong> “Eagle Hill” from The<br />

Screaming Eagle captures a nice portion <strong>of</strong> the 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, ascending Eagle Hill and then falling down Eagle Hill.<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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