Consider the following motion: The cart's initial position is the bottom of the track. You give it a push up. The cart freely rolls up, comes to rest instantaneously, then rolls back down. Question 1. On Figure 1, draw an arrow showing the direction of the cart's acceleration. Question 2. Based on this description, sketch on the axes on the next page the graphs of position x, velocity v and acceleration a of the cart as a function of time t. Question 3. Identify on each graph the turning point of the cart's trajectory. Question 4. On the x-vs-t and v-vs-t sketches, identify and label: a. the time interval during which the cart is speeding up, b. the time interval during which the acceleration of the cart is positive

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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.