A mass attached to a spring has non-constant acceleration a(t) = - cos ((pi*t)/4) * m / (s ^ 2) where t is time measured in seconds. If the initial velocity is zero, v\{0\} = 0m / s then what is the net change in position from t = 0 and t = 3 s? Give a numeric answer rounded to two decimal places.
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 mass attached to a spring has non-constant acceleration a(t) = - cos ((pi*t)/4) * m / (s ^ 2) where t is time measured in seconds. If the initial velocity is zero, v\{0\} = 0m / s then what is the net change in position from t = 0 and t = 3 s? Give a numeric answer rounded to two decimal places.
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