A particle moves along the x-axis with a non-constant acceleration described by a = 6t. If the particle starts from rest so that its speed v and position x are zero when t = 0, where is it located when t = 3 s?
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.
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8. A particle moves along the x-axis with a non-constant acceleration described
by a = 6t. If the particle starts from rest so that its speed v and position x are
zero when t =0, where is it located whent =3 s?
(A) x = 9 m (B) x = 18 m
(C) x = 27 m
(D) x = 36 m
(E) x = 48 m
a
Questions 9-10
An object moving in a straight line has a velocity described by the following
function:
v = 2+ 1.5
9. The instantaneous acceleration of the object at t = 3 s is:
(A) 3 m/s2
(B) 6 m/s?
(C) 7 m/s?
(D) 9 m/s?
(E) 12 m/s2
a
b
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