The position of a particle moving along the x axis varies in time according to the expression x = 6t 2, where x is in meters and t is in seconds. Evaluate its position at the following times. (a) t = 2.40 s (b) t = 2.40 s + At X = m (c) Evaluate the limit of Ax/At as At approaches zero to find the velocity at t = 2.40 s. 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.
![The position of a particle moving along the x axis varies in time according to the expression x = 6t 2, where x is in meters and t is in seconds. Evaluate its position at the following times.
(a) t = 2.40 s
(b) t = 2.40s + At
Xf =
(c) Evaluate the limit of Ax/At as At approaches zero to find the velocity at t = 2.40 s.
m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ff91fa-fde1-47cc-bcac-170d9b2fe11c%2Fd3fa4bc4-d8c1-4ff1-a124-f8da58b0264c%2Fkw0jbqf_processed.png&w=3840&q=75)
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