The velocity of a particle (in meters per second) is given by v = 16t'i + 4tj + (5t + 2)k, wheret is in seconds. If the particle is at the origin when t = 0, determine the magnitude of the particle's acceleration when t = 2 s. Also, what is the x, y, z coordinate position of the particle at this instant? a = 75.16 m s^-2 ;r = (36.67, 10, 8) 80.16 m s^-2 ; r = (42.67, 16, 14) m a = 85.16 m s^-2 ;r = (48.67, 24, 20) O None of the choices
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 a particle (in meters per second) is given by v = 16t'i+ 4tj +
(5t + 2)k, wheret is in seconds. If the particle is at the origin when t = 0,
determine the magnitude of the particle's acceleration when t = 2 s. Also, what is
the x, y, z coordinate position of the particle at this instant?
a = 75.16 m s^-2 ;r = (36.67, 10, 8)
a = 80.16 m s^-2;r = (42.67, 16, 14)
a = 85.16 m s^-2;r = (48.67, 24, 20)
O None of the choices](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a2687f9-2dc3-4320-83d1-50e8cf415338%2F8012a24e-e59a-4365-a32b-818e0b6aad89%2F6rdkgx_processed.jpeg&w=3840&q=75)
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