The position function of a particle of motion on a straight line is given by: s(t) = (1/3)t3 – (5/2)t2 + 4t + 1 a.) What is the starting position of the particle? b.) On what interval(s) is the particle moving to the right? c.) On what interval(s) is the particle moving to the left? d.) At what time(s) is the particle at rest? e.) What is the position of the particle when it is at rest?
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 function of a particle of motion on a
straight line is given by:
s(t) = (1/3)t3 – (5/2)t2 + 4t + 1
a.) What is the starting position of the particle?
b.) On what interval(s) is the particle moving to the
right?
c.) On what interval(s) is the particle moving to the
left?
d.) At what time(s) is the particle at rest?
e.) What is the position of the particle when it is at
rest?
f.) How far did the particle travel in the first 5
seconds?
g.) Draw the particle motion on a horizontal line.
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