A particle travels in a linear path A-B-C. It start from rest at A and reaches B after 2 s. The particle accelerates with a constant acceleration 5 m/s² from A to B, find its velocity at B. After B, the particle decelerates with a constant deceleration and stop at C. Given that the distance from B to C is 30 m, find the total time taken, and total distance for the particle to travelled from A to C, also, draw the motion profile (i.e., v-t graph) of the particle. (10 m/s, 8 sec, 40 m)
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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