The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = t³ – 12t², t > 0 (a) Find the velocity and acceleration functions. v(t) a(t) = %3D (b) Find the position, velocity, speed, and acceleration at time t = 4. s(4) = ft v(4) = ft/s %3D %3D Speed ft/s a(4) = ft/s² (c) At what times is the particle stopped? Number of times the particle stopped: Choose one
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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