Equation for motion (1d) toy car: X(t)=-4t^3+10t^2 +8 a) Calculate the velocity (as a function of time) and acceleration (as a function of time) equations. b) At t=0, calculate the position of the car (relative to the origin) and the velocity (magnitude and direction). c) Without having to do any calculations, after a long time, is the toy car ahead of the origin (+x) or behind the origin (-x) – explain. d) Calculate the first time the car stops (t>0). Calculate the location of that point. e) Calculate the locations at t=2 seconds and t= 3 seconds- and explain if anything significant happens between those locations.

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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.