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Unformatted text preview: Douglass Houghton Workshop, Section 2, Tue 12/6/11 Worksheet Questions for the Ages 1. (Adapted from a Winter, 2005 Math 115 exam) As we know, Kathleen plays 4 instruments, including piano. One day when Cachet is working on a grounbreaking new dance style which demands a dramatic debut, she convinces Kathleen to climb to the top of Burton Tower and commandeer the caril- lon, so that Cachet can dance to the music. Since Kathleen locked the door on her way up, JP, as part of his baseball training regimen, is given the mission of climbing up the side of the tower to retake the bells. Assume Cachet is 30 ft from the base of the tower, and θ is the angle she has to look up to see JP. (a) Find a formula for the rate of change of JP’s distance from the point O with respect to θ . b Kathleen b O b JP b Cachet θ (b) If the distance from point O to Kathleen is 200 ft. and JP is climbing at a constant 8 ft/sec, what is the rate of change of θ with respect to time when JP reaches Kathleen?...
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This note was uploaded on 01/28/2012 for the course MATH 146 taught by Professor Conger during the Winter '08 term at University of Michigan.
- Winter '08