When an object travels through a resistive medium, the rate at which it loses speed at any given instant is given by kv ms-2, where v is the speed of the body at that instant and k is a positive constant. If the initial speed is u ms-1, show by formulating and solving an appropriate differential equation that the time taken for the body to decrease its speed to u ms-1 is In 2 seconds.
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.
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