The engineer of a passenger train traveling at25.0 m/s sights a freight train whose caboose is 200 m ahead on thesame track . The freight train is traveling at 15.0 m/s in thesame direction as the passenger train. The engineer of the passengertrain immediately applies the brakes, causing a constant accelerationof 0.100 m/s2 in a direction opposite to the train’s velocity, while thefreight train continues with constant speed. Take x = 0 at the locationof the front of the passenger train when the engineer applies the brakes.(a) Will the cows nearby witness a collision? (b) If so, where will it takeplace? (c) On a single graph, sketch the positions of the front of the passengertrain and the back of the freight train.
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.
The engineer of a passenger train traveling at
25.0 m/s sights a freight train whose caboose is 200 m ahead on the
same track . The freight train is traveling at 15.0 m/s in the
same direction as the passenger train. The engineer of the passenger
train immediately applies the brakes, causing a constant acceleration
of 0.100 m/s2 in a direction opposite to the train’s velocity, while the
freight train continues with constant speed. Take x = 0 at the location
of the front of the passenger train when the engineer applies the brakes.
(a) Will the cows nearby witness a collision? (b) If so, where will it take
place? (c) On a single graph, sketch the positions of the front of the passenger
train and the back of the freight train.
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