Consider an eight-pound object dropped from a height of 18,000 feet, where the air resistance is proportional to the velocity. Write the velocity of the object as a function of time if the velocity after 5 seconds is approximately −101 feet per second. What is the limiting value of the velocity function? (Round your answer to two decimal places.)
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.
Consider an eight-pound object dropped from a height of 18,000 feet, where the air resistance is proportional to the velocity.
Write the velocity of the object as a function of time if the velocity after 5 seconds is approximately −101 feet per second.
What is the limiting value of the velocity function? (Round your answer to two decimal places.)
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