.) This is differential Calculus subject. A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION. The Equation is S = t^3 - 9t^2 + 15t ; t>=0. where (s) meters is the directed distance of the particle from the originat (t) seconds. where (v) meters per second is the instantaneous acceleration of the particle. 1. FIND (v) AND (a) IN TERMS OF (t). 2. MAKE A TABLE THAT GIVES A Description of THE POSITION AND MOTION of the particle, include in the table the intervals of time when the PARTICLE IS MOVING TO THE LEFT AND RIGHT include in the table when the VELOCITY IS INCREASING AND DECREASING include in the table when the SPEED IS INCREASING AND DECREASING include in the table the POSITION OF THE PARTICLE with respect to the origin during these intervals 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.
3.) This is differential Calculus subject.
A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION.
The Equation is S = t^3 - 9t^2 + 15t ; t>=0.
where (s) meters is the directed distance of the particle from the originat (t) seconds.
where (v) meters per second is the instantaneous acceleration of the particle.
1. FIND (v) AND (a) IN TERMS OF (t).
2. MAKE A TABLE THAT GIVES A Description of THE POSITION AND MOTION of the particle,
include in the table the intervals of time when the PARTICLE IS MOVING TO THE LEFT AND RIGHT
include in the table when the VELOCITY IS INCREASING AND DECREASING
include in the table when the SPEED IS INCREASING AND DECREASING
include in the table the POSITION OF THE PARTICLE with respect to the origin during these intervals of time.
and Show the BEHAVIOR OF THE MOTION
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