A particle moves according to the equation X = (5t3 + 2t2)/t + (8t2/t4) +4, where X is in meters and t is in seconds. determine: (a) the average velocity from 1.5 to 3.0 seconds? (b) the instantaneous velocity at t = 3.2 seconds? (c) instantaneous acceleration at t = 3.2 seconds?
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 according to the equation X = (5t3 + 2t2)/t + (8t2/t4) +4, where X is in meters and t is in seconds. determine:
(a) the average velocity from 1.5 to 3.0 seconds?
(b) the instantaneous velocity at t = 3.2 seconds?
(c) instantaneous acceleration at t = 3.2 seconds?
(d) the time when the particle is at rest? (ans.: t=1.08s)
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