6. A particle moves along the x-axis with its position relative to the origin and has an acceleration function a(t) = 4t +6, in cm/52 and time t in seconds. If the initial velocity of the particle is -5 cm/s and its initial position is 8 cm right of the origin, what is the velocity and position when t = 2 seconds?
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.
![6. A particle moves along the x-axis with its position relative to the origin and has an acceleration
function a(t) = 4t +6, in cm/52 and time t in seconds. If the initial velocity of the particle is
-5 cm/s and its initial position is 8 cm right of the origin, what is the velocity and position when t =
2 seconds?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbee57f3e-a6d7-49ca-b93b-1725d73e9424%2Fa887ff8e-b9be-4ff6-af98-32a257f1e66c%2Fb1hopkr_processed.jpeg&w=3840&q=75)
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