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.
Two velocity vectors are defined as follows: v1 = 40.0 m/s, 50.0 degrees cw from the +x axis v2 = 30.0 m/s, 75.0degrees cw from the -y axis
d) Calculate the x- and y-components of v2. Write the vector v2 in terms of its components using unit vector notation.
e) Calculate the x- and y-components of the change in velocity defined as Δv= v2-v1. Write the vector Δv in terms of its components using unit vector notation.
f) Sketch the vector Δv on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part.
g) Calculate the magnitude and direction of the vector Δv.
h) Finally, write the vector Δv in terms of its magnitude and direction.
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