certain amusement park ride takes its riders along a circular path of diameter 23 m. Starting from rest, the speed of a rider sitting along the edge of this path is given in m/s as s(t) = 0.19*( t + 0.40 t3 ) from t = 0 to t = 5 s. Find the acceleration of the rider as (a) a function of time and (b) at t = 5 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.
A certain amusement park ride takes its riders along a circular path of diameter 23 m. Starting from rest, the speed of a rider sitting along the edge of this path is given in m/s as s(t) = 0.19*( t + 0.40 t3 ) from t = 0 to t = 5 s. Find the acceleration of the rider as (a) a function of time and (b) at t = 5 s.
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