A particle starts from rest at a position x(0) = 0. Find the velocity v(t) and position y(t) of the particle if it is subjected to the following accelerations: a) a(t) = 6t3-4t2+7t-8 b) a(t) = 5 +1/4 cos(1/4)t
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.
A particle starts from rest at a position x(0) = 0. Find the velocity v(t) and position y(t) of the particle if it is subjected to the following accelerations:
a) a(t) = 6t3-4t2+7t-8
b) a(t) = 5 +1/4 cos(1/4)t
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