The speed of an object moving through a viscous fluid is given by v(t)=A⋅e^(−b⋅t). (a) If the numerical value of A (in SI units) is 3.20 and the numerical value of b (in SI units) is 1.31, then what is the initial acceleration of the particle, at time t=0? (b) How far does the particle move in the first 2.00s? You may ignore gravity. The particle has the same density as the fluid.
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.
The speed of an object moving through a viscous fluid is given by v(t)=A⋅e^(−b⋅t).
(a) If the numerical value of A (in SI units) is 3.20 and the numerical value of b (in SI units) is 1.31, then what is the initial acceleration of the particle, at time t=0?
(b) How far does the particle move in the first 2.00s?
You may ignore gravity. The particle has the same density as the fluid.
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