121616949-math.313 - 4 457 854 041 N-m 9.5.3 367 500 π N-m...

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Appendix B Selected Answers 299 9.1.7. 1 / 3 9.1.8. 10 5 / 3 - 6 9.1.9. 500 / 3 9.1.10. 2 9.1.11. 1 / 5 9.1.12. 1 / 6 9.2.1. 1 , 5 9.2.2. 0, 245 9.2.3. 20, 28 9.2.4. (3 - π ) / (2 π ), (18 - 12 3 + π ) / (4 π ) 9.2.5. 10 / 49 meters, 20 / 49 seconds 9.2.6. 45 / 98 meters, 30 / 49 seconds 9.2.7. 25000 / 49 meters, 1000 / 49 seconds 9.2.8. s ( t ) = cos t , v ( t ) = - sin t , maximum distance is 1, maximum speed is 1 9.2.9. s ( t ) = - sin( πt ) 2 + t/π , v ( t ) = - cos( πt ) + 1 , maximum speed is 2 9.2.10. s ( t ) = t 2 / 2 - sin( πt ) 2 + t/π , v ( t ) = t - cos( πt ) + 1 9.2.11. s ( t ) = t 2 / 2 + sin( πt ) 2 - t/π , v ( t ) = t + cos( πt ) - 1 9.3.5. 8 π/ 3 9.3.6. π/ 30 9.3.7. π ( π/ 2 - 1) 9.3.8. (a) 114 π/ 5 (b) 74 π/ 5 (c) 20 π (d) 4 π 9.3.9. 16 π , 24 π 9.3.11. πh 2 (3 r - h ) / 3 9.3.13. 2 π 9.4.1. 2 ; 2 ; 0 9.4.2. 4 / 3 9.4.3. 1 /A 9.4.4. π/ 4 9.4.5. - 1 / 3, 1 9.4.6. - 4 1224 ft/s; - 8 1224 ft/s 9.5.1. 5 , 305 , 028 , 517 N-m 9.5.2.
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Unformatted text preview: 4 , 457 , 854 , 041 N-m 9.5.3. 367 , 500 π N-m 9.5.4. 49000 π + 196000 / 3 9.5.5. 2450 π N-m 9.5.6. . 05 N-m 9.5.7. 6 / 5 N-m 9.5.8. 3920 N-m 9.5.9. 23520 N-m 9.6.1. 15 / 2 9.6.2. 5 9.6.3. 16 / 5 9.6.5. ¯ x = 45 / 28, ¯ y = 93 / 70 9.6.6. ¯ x = 0, ¯ y = 4 / (3 π ) 9.6.7. ¯ x = 1 / 2, ¯ y = 2 / 5 9.6.8. ¯ x = 0, ¯ y = 8 / 5 9.6.9. ¯ x = 4 / 7, ¯ y = 2 / 5 9.6.10. ¯ x = ¯ y = 1 / 5 9.6.11. ¯ x = 0, ¯ y = 28 / (9 π ) 9.6.12. ¯ x = ¯ y = 28 / (9 π ) 9.7.1. ∞ 9.7.2. 1 / 2 9.7.3. diverges 9.7.4. diverges 9.7.5. 1 9.7.6. diverges 9.7.7. 2...
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