A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION WHERE AT (t) SECONDS, (s )METERS IS THE DIRECTED DISTANCE OF THE PARTICLE FROM THE ORIGIN, (v) meters per second IS THE INSTANTANEOUS ACCELERATION OF THE PARTICLE, FIND (v) AND (a) IN TERMS OF (t).2 MAKE A TABLE THAT GIVES A Description THE POSITION AND MOTION OF THE PARTICLE, INCLUDE IN THE TABLE THE INTERVALS OF TIME WHEN THE PARTICLE IS MOVING TO THE LEFT, WHEN IT IS MOVING TO THE RIGHT, WHEN THE VELOCITY IS INCREASING, WHEN THE VELOCITY IS DECREASING, WHEN THE SPEED IS INCREASING, WHEN THE SPEED IS DECREASING, AND THE POSITION OF THE PARTICLE WITH RESPECT TO THE ORIGIN DURING THESE INTERVALS OF TIME. SH
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.)
A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION WHERE
AT (t) SECONDS, (s )METERS IS THE DIRECTED DISTANCE OF THE PARTICLE FROM THE ORIGIN, (v) meters per second IS THE INSTANTANEOUS ACCELERATION OF THE PARTICLE, FIND (v) AND (a) IN TERMS OF (t).2 MAKE A TABLE THAT GIVES A Description THE POSITION AND MOTION OF THE PARTICLE, INCLUDE IN THE TABLE THE INTERVALS OF TIME WHEN THE PARTICLE IS MOVING TO THE LEFT, WHEN IT IS MOVING TO THE RIGHT, WHEN THE VELOCITY IS INCREASING, WHEN THE VELOCITY IS DECREASING, WHEN THE SPEED IS INCREASING, WHEN THE SPEED IS DECREASING, AND THE POSITION OF THE PARTICLE WITH RESPECT TO THE ORIGIN DURING THESE INTERVALS OF TIME. SHOW THE BEHAVIOR OF THE MOTION.
The Equation is S = t^3 - 9t^2 + 15t ; t>=0.
Step by step
Solved in 3 steps with 3 images