A train stopping at two stations 4 km apart takes 4 min on the journey from one of the station to another. Assuming that it first accelerates with a uniform acceleration x and then that of uniform retardation y. Prove that 1/x + 1/y = 2.
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 train stopping at two stations 4 km apart takes 4 min on the journey from one of the station to another. Assuming that it first accelerates with a uniform acceleration x and then that of uniform retardation y. Prove that 1/x + 1/y = 2.
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