The position of a particle moving along the x axis varies in time according to the expression x=2t2-3t+5 where x is in meters and t is in seconds. Evaluate its position at the following times. a)Find the displacement from 1s to 3s. b)Find the average velocity from 1s to 3s. c)Find the instantaneous velocity as a function of time.
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 position of a particle moving along the x axis varies in time according to the expression x=2t2-3t+5 where x is in meters and t is in seconds. Evaluate its position at the following times.
a)Find the displacement from 1s to 3s.
b)Find the average velocity from 1s to 3s.
c)Find the instantaneous velocity as a function of time.
d)Find the velocity at 1s to 3s
d)Find the average acceleration from 1s to 3s.
e)Find the instantaneous acceleration
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