1. The motion of a particle which moves along the straight line is defined by the relation x(t) = t³ – 9t? + 24t – 8 where x and t are expressed in meters and seconds respectively. Note that the coefficients of t have dimensions accordingly. (a) Determine when the velocity of the particle is zero. (b) acceleration is zero. Consider that at the starting point time t = 0 sec. Calculate the position vector and distance travelled by the particle when the (c) Does the particle move at constant velocity or constant acceleration? Justify your answer.
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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