Suppose that the position of a particle as a function of time is given by the expression: x(t) = (-2t5 + -3t³) Ĵ + 1t4ĵ Determine the velocity as a function of time, v(t) = Determine the acceleration as a function of time, a(t) = Determine the magnitude of the acceleration at t=0.7s, a(t=0.7) Î + = Î + Ĵ m/s² Ĵ
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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