The position of an object (in metres) is given by the function s(t) = t4 - 10t³ +35² - 50 + 24 where t is in seconds. a. Determine the velocity and acceleration functions for the object b. Determine the position, velocity and acceleration of the object at t = 3.5 s. c. At t = 3.5 s is the object to the left or right of the origin? Explain how you know. d. At t = 3.5 s is the object travelling to the left or right? Explain how you know. e. At t = 3.5 s is the object speeding up or slowing down? Explain how you know.
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.
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