Two trains, one traveling at 20 m/s , and the other at 40m/s , are headed toward one another along a straight level track. When they are 950 m apart, each engineer sees the other’s train and applies the brakes. The brakes decelerate each train at a constant rate of 10 m/s2 . Will the two trains collide? Explain quantitively.
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.
Two trains, one traveling at 20 m/s , and the other at 40m/s , are headed toward one another along a straight level track. When they are 950 m apart, each engineer sees the other’s train and applies the brakes. The brakes decelerate each train at a constant rate of 10 m/s2 . Will the two trains collide? Explain quantitively.
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