2. A particle moves along the x-axis according to the equation x = 5.00 + 7.00t – 2.00t2, where x is in meters and t is in seconds. (a) What is the particle's position along the x-axis at t= 3.00-s? (b) What is the particle's average velocity between t= 0 and t = 3.00-s? (c) At what time is the particle's average velocity zero (other than at t=0)? (d) What is the particle's average acceleration between t = 0 and t = 3.00-s? (e) What is the particle's instantaneous velocity at t = 3.00-s? Answers: (a) 8.00 m (b) 1.00 m/s (c) 3.50 s (d) -4.00 m/s2 (e) -5.00 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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