hwsol_9 - Homework Assignment 9(11.3 Solutions Page 880 8...

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Homework Assignment 9 - (11.3) - Solutions Page 880: 8*, 10*, 12*, 16*, 18*, 22*, 26*, 28*, 37*, 42(a)*, 46*, 47*, 48* 8. r ! ! t " "# 25 te ! 2 t , ! 16 t 2 $ 10 t $ 20 % v ! ! t " " r ! & ! t " "# 25 e ! 2 t ! 50 te ! 2 t , ! 32 t $ 10 % a ! ! t " " r ! && ! t " "# ! 100 e ! 2 t $ 100 te ! 2 t , ! 32 % 10. r ! ! t " "# 3 e ! 3 t , sin ! 2 t " , t 3 ! 3 t % r ! & ! t " "# ! 9 e ! 3 t ,2cos2 t ,3 t 2 ! 3 % , r ! && ! t " "# 27 e ! 3 t , ! 4sin2 t ,6 t % 12. v ! ! t " "# 4 t , t 2 ! 1 % , r ! ! 0 " "# 10, ! 2 % r ! ! t " " " v ! ! t " dt "# 2 t 2 , 1 3 t 3 ! t %$ C ! r ! ! 0 " "# 0, 0 C ! "# 10, ! 2 % , C ! "# 10, ! 2 % , r ! ! t " "# 2 t 2 $ 10, 1 3 t 3 ! t ! 2 % 16. v ! ! t " "# t $ 2, t 2 , e ! t /3 % , r ! ! 0 " "# 4,0, ! 3 % r ! ! t " " " v ! ! t " dt "# 1 2 t 2 $ 2 t , 1 3 t 3 , ! 3 e ! t /3 C ! r ! ! 0 " "# 0, 0, ! 3 C ! "# 4, 0, ! 3 % , C ! "# 4, 0, ! 3 % ! # 0, 0, ! 3 %"# 4, 0, 0 % r ! ! t " "# 1 2 t 2 $ 2 t $ 4, 1 3 t 3 , ! 3 e ! t /3 % 18. a ! ! t " "# e ! 3 t , t , sin t % , v ! ! 0 " "# 4, ! 2, 4 % , r ! ! 0 " "# 0, 4, ! 2 % v ! ! t " " " a ! ! t " dt " " e ! 3 t , t , sin t dt $ C ! 1 "# ! 1 3 e ! 3 t , 1 2 t 2 , ! cos t C ! v ! ! 0 " "# ! 1 3 ,0 , ! 1 C ! "# 4, ! 2, 4 % , C ! "# 13 3 , ! 2, 5 % , v ! ! t " "# ! 1 3 e ! 3 t $ 13 3 , 1 2 t 2 ! 2, ! cos t $ 5 % r ! ! t " "# 1 9 e ! 3 t $ 13 3 t , 1 6 t 3 ! 2 t , ! sin t $ 5 t C ! r ! ! 0 " "# 1 9 C ! "# 0, 4, ! 2 % , C ! "# ! 1 9 ,4 , ! 2 % r ! ! t " "# 1 9 e ! 3 t $ 13 3 t ! 1 9 , 1 6 t 3 ! 2 t $ 4, ! sin t $ 5 t ! 2 % 22. r ! ! t " "# 2cos3 t , 2sin3 t % v ! ! t " "# ! 6sin3 t , 6cos3 t % , a ! ! t " "# ! 18cos3 t , ! 18sin3 t % F ! ! t " " ma ! ! t " " ! 180 # cos3 t , sin3 t % 26. r ! ! t " "# 20 t ! 3, ! 16 t 2 $ 2 t $ 30 % v ! ! t " "# 20, ! 32 t $ 2 % , a ! ! t " "# 0, ! 32 % F ! ! t " " ma ! ! t " " 10 # 0, ! 32 %" ! 320 # 0, 1 % 1
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28. v 0 " 100, h " 0, ! " " 6 v ! ! 0 " " 100 # cos " 6 , sin " 6 %"# 50 3 ,5 0 % , r ! ! 0 " "# 0,0 % a ! ! t " "# 0, ! g % g # 32 ft/sec 2 v ! ! t " 0, ! 32 t %$ C ! , v ! ! 0 " "# 50 3 0 % , v ! ! t " "# 50 3 , ! 32 t $ 50 % , r ! ! t " 50 3 t , ! 16 t 2 $ 50 t C ! , r ! ! 0 " "# C ! "# % , C !
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hwsol_9 - Homework Assignment 9(11.3 Solutions Page 880 8...

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