A subway train accelerates from rest at one station at a rate of 1.20 m/s2 for 1/3 of the distance to the next station, then maintains a constant speed for 1/3 of the trip, then starts slowing down at this same rate it accelerated initially for the final 1/3 of the trip. If the stations are 3100 m apart, find the time of travel between stations. a) 5 s b) 20.75 s c) 103.75 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.
A subway train accelerates from rest at one station at a rate of 1.20 m/s2 for 1/3 of the distance to the next station, then maintains a constant speed for 1/3 of the trip, then starts slowing down at this same rate it accelerated initially for the final 1/3 of the trip. If the stations are 3100 m apart, find the time of travel between stations.
a) 5 s
b) 20.75 s
c) 103.75 s
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