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Pre-Calc Homework Solutions 440

Pre-Calc Homework Solutions 440 - 440 Chapter 10 Review...

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64. (a) v ( t ) 5 k } d d x t } , } d d y t } l 5 k 2 t , } 6 5 } t 2 l , v (4) 5 k 8, } 9 5 6 } l , and ) v (4) ) 5 ! 8 § 2 § 1 § 1 § } 9 5 § 6 } § 2 2 § 5 } 10 5 4 } (b) Distance 5 E 4 0 ! (2 § t ) § 2 § 1 § 1 § } 6 5 } § t 2 § 2 2 § dt 5 E 4 0 } 2 5 } t ˇ 2 w 5 w 1 w 9 w t 2 w dt 5 3 } 1 2 35 } (25 1 9 t 2 ) 3/2 4 5 } 4 1 1 3 4 5 4 } (c) t 5 ˇ x w 1 w 2 w , so } d d y x } 5 } d d y x / / d d t t } 5 } 6 t 2 2 t /5 } 5 } 3 5 } t 5 } 3 5 } ˇ x w 1 w 2 w 65. x degrees east of north is (90 2 x ) degrees north of east. Add the vectors: K 540 cos 10 8 , 540 sin 10 8 L 1 K 55 cos ( 2 10 8 ), 55 sin ( 2 10 8 ) L 5 k 595 cos 10 8 , 485 sin 10 8 l < K 585.961, 84.219 L . Speed < ˇ 5 w 8 w 5 w .9 w 6 w 1 w 2 w 1 w 8 w 4 w .2 w 1 w 9 w 2 w < 591.982 mph. Direction < tan 2 1 1 } 5 8 8 4 5 . . 2 9 1 6 9 1 } 2 < 81.821 8 east of north 66. Add the vectors: k 120 cos 20 8 , 120 sin 20 8 l 1 k 300 cos ( 2 5 8 ), 300 sin ( 2 5 8 ) l < k 411.622, 14.896 l . Direction < tan 2 1 1 } 4 1 1 4 1 .8 .6 9 2 6 2 } 2 < 2.073 8 Length < ˇ 4 w 1 w 1 w .6 w 2 w 2 w 2 w 1 w 1 w 4 w .8 w 9 w 6 w 2 w < 411.891 lbs 67. Taking the launch point as the origin, y 5 (44 sin 45 8 ) t 2 16 t 2 equals 2 6.5 when t < 2.135 sec
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