A particle moves along the x-axis. The function x(t) gives the particle's position at any time t2 0: x(t) = t3-4t2+3t-2 a) What is the particle's velocity v(t) at t=3s? b) What is the particle's acceleration a(t) at t=3s? What is the direction of the particle's motion at t=2s? at t=3s, is the particle's speed increasing, decreasing, or neither? x(t) = t³-4t2+3t-2
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 moves along the x-axis. The function x(t) gives the particle’s position at any time t ≥ 0: x(t) = t^3-4t^2+3t-2 a) What is the particle’s velocity v(t) at t=3s? b) What is the particle’s acceleration a(t) at t=3s? What is the direction of the particle’s motion at t=2s? at t=3s, is the particle’s speed increasing, decreasing, or neither?
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