A rocket is designed to be launched to space with an acceleration defined by the equation given below where "y" is the altitude of the rocket in the time of flight and "R" is the radius of the earth equal to 6,400 kilometers. What should be the value of the initial velocity of the rocket if it has to reach a velocity of 1,500 m/s at an altitude of 5 kilometers above the ground? Express your answer in unit of km/hr.
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.
![A rocket is designed to be launched to
space with an acceleration defined by
the equation given below where "y" is
the altitude of the rocket in the time of
flight and "R" is the radius of the earth
equal to 6,400 kilometers. What should
be the value of the initial velocity of the
rocket if it has to reach a velocity of
1,500 m/s at an altitude of 5 kilometers
above the ground? Express your answer
in unit of km/hr.
a = -9.81[R² / (R + y)²]
а —](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd81a92ee-1000-4b83-a94c-55bf261d533f%2F69a3af56-552a-4bc6-a7f7-18d072210d3c%2F6k28oap_processed.jpeg&w=3840&q=75)
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