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33619_exam1_solutions

# 33619_exam1_solutions - Physics 160-01 Exam#1 Name_Box 20...

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Physics 160-01 Exam #1 Name:___________________Box #_________ 20 points each. 1) For the following three vectors, what is ) 4 ( 2 B A C ? k i C k j i B k j i A ˆ 00 . 3 ˆ 00 . 2 , ˆ 00 . 1 ˆ 00 . 6 ˆ 00 . 2 , ˆ 00 . 2 ˆ 00 . 3 ˆ 00 . 4 960 720 240 ) ˆ 6 ˆ 120 ( ) ˆ 4 ˆ 60 ( ) 4 ( 2 ˆ 6 ˆ 4 2 ˆ 120 ˆ 0 ˆ 60 ˆ ) 24 96 ( ˆ ) 16 16 ( ˆ ) 48 12 ( 1 6 2 8 12 16 ˆ ˆ ˆ 4 ˆ 8 ˆ 12 ˆ 16 4 k k i i B A C k i C k j i k j i k j i B A k j i A

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2) A model rocket fired vertically from the ground ascends with a constant vertical acceleration of 5.6m/s 2 for 5 seconds. Its fuel is then exhausted, so it continues upward as a free-fall particle and then falls back down. What is the maximum altitude reached? This is a two part question. In the first part, the rocket starts from rest at y=0m and has a constant acceleration for 5sec. to some height. It then continues up with acceleration due to gravity to its maximum height. So, for the first part: y o =0m, y f =?, v oy =0m/s, v fy =?, a y =5.6m/s 2 , t=5s.
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