An object's position is described by the following polynomial for 10 s=t^3 - 12t^2 + 24t where s is in meters and t is in seconds. Determine the following: a. the object's velocity as a function of time b. the object's acceleration as a function of time c. the time when the object was at the origin (s=0m)
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.
An object's position is described by the following polynomial for 10 s=t^3 - 12t^2 + 24t where s is in meters and t is in seconds.
Determine the following:
a. the object's velocity as a function of time
b. the object's acceleration as a function of time
c. the time when the object was at the origin (s=0m)
d. the object's average velocity
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