During a carousel ride, the horses move up and down. The vertical displacement of the horses follow that of simple harmonic motion, with one up-and-down cycle lasting 3.50 s, and the height difference between each horse’s highest point and lowest point being 20.3 cm. All horses start at their lowest point at the beginning of the ride. At t = 1.00 min, t = 2.00 min, and t = 3.00 min after the beginning of the ride, draw the velocity and acceleration vectors of a horse in the ride, with clearly labeled components.
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.
During a carousel ride, the horses move up and down. The vertical displacement of the horses follow that of simple
harmonic motion, with one up-and-down cycle lasting 3.50 s, and the height difference between each
horse’s highest point and lowest point being 20.3 cm. All horses start at their lowest point at the
beginning of the ride. At t = 1.00 min, t = 2.00 min, and t = 3.00 min after the beginning of the ride, draw the velocity
and acceleration vectors of a horse in the ride, with clearly
labeled components.
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