A subway train starts from rest at a station and accelerates at 3 m/s2 for 10 seconds. It then runs at constant speed for 90 seconds, and then slows down at -4 m/s2 until it stops at the next station. a. What is the train’s velocity after the initial acceleration? b. How far did the train travel during the initial acceleration? c. How many seconds did the train take to decelerate?
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 starts from rest at a station and accelerates at 3 m/s2 for 10
seconds. It then runs at constant speed for 90 seconds, and then slows down at
-4 m/s2 until it stops at the next station.
a. What is the train’s velocity after the initial acceleration?
b. How far did the train travel during the initial acceleration?
c. How many seconds did the train take to decelerate?
d. What is the distance between the two stations?
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