2. An elevator in a very tall building travels upwards a total distance of 300 m (about 80-100 floors, depending on the distance between each floor). For the first 36 m. the elevator accelerates uniformly from rest to a final speed of 4.0 m/s. For the last 36 m. the elevator decelerates uniformly back to rest. For the remainder of the time, assume that the elevator travels at a constant speed of 4.0 m/s. a. Determine the acceleration during the initial acceleration period. Explicitly state its direction (no plus/minus please --- I want up/down/left/right, etc). b. What is the direction of the acceleration during the final deceleration period? c. Calculate the total time required by the elevator to travel the 300 m.
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.
An elevator in a very tall building travels upwards a total distance of 300m (about 80-100 floors, depending on the distance between each floor). For the first 36m, the elevator accelerates uniformly from rest to a final speed of 4.0m/s. For the last 36m, the elevator decelerates uniformly back to rest. For the remainder of the time, assume that the elevator travels at a constant speed of 4.0m/s.
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Determine the acceleration during the initial acceleration period. Explicitly state its direction (no plus/minus please --- I want up/down/left/right, etc).
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What is the direction of the acceleration during the final deceleration period?
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Calculate the total time required by the elevator to travel the 300m.
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Sketch a position vs. time graph for the elevator, showing its position as a function of time. The sketch should be qualitatively accurate (i.e., the graph should have the correct overall ``shape'').
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