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MA 167 Group Assignment 4

# MA 167 Group Assignment 4 - (Give your answer in terms of...

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MA 167 – Group Work - 4 Group Name _________________________ Members ________________________ ________________________ ________________________ ________________________ Assignment due Wednesday 9/23/09 Designing a roller coaster You have been hired by Two Flags Over Westville to help with the design of their new roller coaster. Your portion of the path for the new roller coaster is shown below. Notice that it is a straight stretch (no turns). There is a support every 10 feet. A safety rule is that a descent can be no steeper than ° 80 at any point. In addition, the design starts with a ° 45 incline. (Angles refer to the angle that the path makes with a horizontal line.) 1. Where is the path increasing and decreasing? (Give your answer in terms of distance along the ground from the start.) 2. Where is the path increasing at an increasing rate, increasing at a decreasing rate, decreasing at an increasing rate, and decreasing at a decreasing rate?

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Unformatted text preview: (Give your answer in terms of distance along the ground from the start.) 3. For each fall, where is the steepest descent and how steep is the angle at that point? 4. Does your path satisfy the safety criterion? Explain why or why not. 5. Draw the graph of the slope of the path versus the distance along the ground from the start. 6. The thrill of the coaster is defined as the sum of the angle of steepest descent in each fall in radians + number of tops. Calculate the thrill of your path. 7. The amount of material needed for a support is the square of the height of the support. So, for example, a support that is 20 feet high would require 2 20 or 400 feet of material. Find the amount of material needed for the supports in your path. Limits & Continuity Textbook problems: Section 2.4, page 109 #67 – 70, 83, 85 Section 2.5, page 118 #39 – 42 Section 2.6, page 130 – 131 #45, 46, 51 – 53, 63, - 66...
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MA 167 Group Assignment 4 - (Give your answer in terms of...

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