P17_069 - 69. (a) With length in centimeters and time in...

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69. (a) With length in centimeters and time in seconds, we have u = dy dt = 60 π cos ³ πx 8 4 πt ´ . Thus, when x =6and t = 1 4 ,weobta in u = 60 π cos π 4 = 60 π 2 = 133 so that the speed there is 1 . 33 m/s. (b) The numerical coefficient of the cosine in the expression for u is 60 π . Thus, the maximum speed is 1 . 88 m/s. (c) Taking another derivative, a =
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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