The velocity of an object moving along the x-axis is given in m/s by v(t) = t2 − 6t + 8, where t is in s. If the object starts from x=1m at t=0s, answer the following questions. (a) What is the acceleration of the object when t = 2 s? (b) What is the position when t = 3 s? (c) Is the object speeding up or slowing down at t = 1 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.
The velocity of an object moving along the x-axis is given in m/s by
v(t) = t2 − 6t + 8, where t is in s. If the object starts from x=1m at t=0s, answer the following questions.
(a) What is the acceleration of the object when t = 2 s?
(b) What is the position when t = 3 s?
(c) Is the object speeding up or slowing down at t = 1 s?
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