A particle moves along the x-axis according to x(t) = 42t – 6t2 m. (Round all answers to at least the nearest integer.) (a) What is the instantaneous velocity (in m/s) at t = 2 s and t = 5 s? (Indicate the direction with the sign of your answer.) v(2 s) = m/s v(5 s) = m/s (b) What is the instantaneous speed (in m/s) at these times? s(2 s) m/s s(5 s) m/s (c) What is the average velocity (in m/s) between t = 2 s and t = 5 s? (Indicate the direction with the sign of your answer.) m/s
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.
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