An express subway train passes through an underground station. It enters at t = 0 with an initial velocity of 21.5 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. The station in 230 m long.(a) How long is the nose of the train in the station? s (b) How fast is it going when the nose leaves the station? m/s (c) If the train is 130 m long, at what time t does the end of the train leave the station? s (d) What is the velocity of the end of the train as it leaves? m/s
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 express subway train passes through an underground station. It enters at t = 0 with an initial velocity of 21.5 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. The station in 230 m long.(a) How long is the nose of the train in the station?
s
(b) How fast is it going when the nose leaves the station?
m/s
(c) If the train is 130 m long, at what time t does the end of the train leave the station?
s
(d) What is the velocity of the end of the train as it leaves?
m/s
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