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
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f63f2c8-e5d4-4ea0-b9c2-8f62f7b6a7e1%2F40435abf-2ddc-4f43-9e84-4a54e2159c7e%2Fs65h8mn_processed.jpeg&w=3840&q=75)
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