A particle acceleration is given by a(t) = At2 + Bt − C where A, B, and C are constants. At t = 0, the particle starts its motion at the origin with initial velocity v0. Find the position and speed of the particle as a function of time.
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 acceleration is given by a(t) = At2 + Bt − C where A, B, and C are constants. At t = 0, the particle starts its motion at the origin with initial velocity v0. Find the position and speed of the particle as a function of time.
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