3. Given that the position of particle is defined in terms of time by the equation below, where x is in meters, and t is in seconds, determine: 4t3+ x = 3t2 ·+ 4 a) the average velocity of the particle from t = 1.0s to t = 3.0s (Ans. 16 m/s) b) the instantaneous velocity of the particle at t = 2.5 s (Ans. 20.52 m/s) c) the average acceleration of the particle from t = 2.0s to t = 3.0s (Ans. 8.42 m/s?) d) the time t which the instantaneous acceleration of the particle is 8.10 m/s² (Ans. 3.91 s)
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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