At time t=0.0 s a particle is located at x = 4.0 m and y = 1.0 m. The particle has an initial velocity at t=0.0 s given by: v= = 6.0m/si-2.0m/sj The particle experiences a constant acceleration beginning at t=0.0s that can be described by a = -2.0m/s² i + 5.0m/s²3 +3.0m/s² k (A) On coordinate axes (x and y) show the particle initial position and draw a vector which indicates the initial velocity of the particle.
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.
Given:
Particle's initial position at time is given as and .
Particle's initial velocity vector at time is
Particle's acceleration vector at time is
To find:
(A) On coordinate axis (x any y) show particle initial position and draw particle's initial velocity vector.
(B) Which physics equation might be used to determine particle's position at a later time .
(C) Particle's position at in terms of position vector.
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