A rocket runs out of fuel in the position shown and continues in unpowered flight above the atmosphere. If its velocity in this position was 600 mi/hr, calcu- ate the maximum additional altitude h acquired and the corresponding time t to reach it. The gravita- ional acceleration during this phase of its flight is 30.8 ft/sec². v = 600 mi/hr Vertical 1 -30% Problem 2/65

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Chapter3: Motion In Two Dimensions
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2/65 A rocket runs out of fuel in the position shown and
continues in unpowered flight above the atmosphere.
If its velocity in this position was 600 mi/hr, calcu-
late the maximum additional altitude h acquired and
the corresponding time t to reach it. The gravita-
tional acceleration during this phase of its flight is
30.8 ft/sec².
v = 600 mi/hr
Vertical
I
-30%
Problem 2/65
2/68 v=600 mi/hr = 880 ft/sec
Q₁ = -30.8 ft/sec²
2₁. V rat;
0= 880 sin 60° -30.8 t
9=30.8
#/sec2
t = 880(0.866)
30.8
-X
v²=²+2ay; 0= (880 sin 60°)-2(30.8) h
2
h=
[880(0.866)]
2(30.8)
= 9429 ft
or h=
= 24.7 sec
9429
= 1.786 mi
5280
Transcribed Image Text:2/65 A rocket runs out of fuel in the position shown and continues in unpowered flight above the atmosphere. If its velocity in this position was 600 mi/hr, calcu- late the maximum additional altitude h acquired and the corresponding time t to reach it. The gravita- tional acceleration during this phase of its flight is 30.8 ft/sec². v = 600 mi/hr Vertical I -30% Problem 2/65 2/68 v=600 mi/hr = 880 ft/sec Q₁ = -30.8 ft/sec² 2₁. V rat; 0= 880 sin 60° -30.8 t 9=30.8 #/sec2 t = 880(0.866) 30.8 -X v²=²+2ay; 0= (880 sin 60°)-2(30.8) h 2 h= [880(0.866)] 2(30.8) = 9429 ft or h= = 24.7 sec 9429 = 1.786 mi 5280
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