The position (in meters) of an object is given as a function of time by the equation: x(t) = 2t^3 - 3t^2 +t-6 a.What is the initial position of the object (that is, at t=0) and What is the position after 3 seconds? b.What is the average velocity of this object over the first 3 seconds? and Write an equation for the instantaneous velocity of this object c.What is the initial velocity of this object (that is, at t=0) and What is the velocity of this object at 3 seconds? Also find the average acceleration for this object over the first three seconds? Please answer it completetely
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 (in meters) of an object is given as a function of time by the equation:
x(t) = 2t^3 - 3t^2 +t-6
a.What is the initial position of the object (that is, at t=0) and What is the position after 3 seconds?
b.What is the average velocity of this object over the first 3 seconds? and Write an equation for the instantaneous velocity of this object
c.What is the initial velocity of this object (that is, at t=0) and What is the velocity of this object at 3 seconds? Also find the average acceleration for this object over the first three seconds?
Please answer it completetely.
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