A particle is moving along a straight line such that its acceleration is defined as a(v)= -6v m/s2, where x is the displacement in meters. When t = 0 seconds, x = 4 m and v = 18 m/s. Determine the velocity of the particle at x = 5 meters.
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 particle is moving along a straight line such that its acceleration is defined as a(v)= -6v m/s2, where x is the
displacement in meters. When t = 0 seconds, x = 4 m and v = 18 m/s. Determine the velocity of the particle at x = 5
meters.
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