1) The position of an object as a function of time is given by r(t) = (3.00 t² – 2.00 t) î – 1.00 t3jm.Find: (a) its velocity at t-2.00 s; (b) its acceleration at t=4.00 s; (c) its average acceleration between =1.00 s and t= 3.00 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.
![1) The position of an object as a function of time is given by
r(t) = (3.00 t2 – 2.00 t) î – 1.00 t³ j m. Find: (a) its velocity at t=2.00 s; (b) its
acceleration at t-4.00 s; (c) its average acceleration between =1.00 s and t= 3.00 s.
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