The position of a box sliding down the spiral can be described by r [2 sin (2t)i + 2 cos tj- 2t'k] ft, where t is in seconds and the arguments for the sine and cosine are radians. Determine the magnitude of the acceleration in ft/s' of the box when t - 2 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 position of a box sliding down the
spiral can be described by r [2 sin (2t)i +
2 cos tj- 2t'k] ft, where t is in seconds
and the arguments for the sine and cosine
are radians. Determine the magnitude of
the acceleration in ft/s' of the box when t
- 2 s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35bd0712-4f38-4895-990a-f2602cae8254%2F3122e69a-4650-4ddc-946b-567be6187e5d%2Fjq96a3_processed.png&w=3840&q=75)
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