1. The position versus time graph at right represents the motion of an object moving in a straight line. a. Describe the motion. During which periods of time, if any, is the velocity constant? Explain how you can tell. b. Find the object's instantaneous velocity at each of the following times. Show your work. i. r=0.5 s Position (centimeters) 10 ii. 1=2.0 s TB I 2 3 3 4 Time (seconds) How does the method you used to answer parts i-iii rely on your answer to part a? D iii. 1-4.0 s c. For each of the following intervals, find the average velocity of the object. i. between A and C ii. between A and D 5 iii. between B and D On the graph above, sketch and label the lines that would represent an object moving with constant velocity between each of the pairs of points in parts i-iii. 6 For each line that you drew, how does the slope compare to the average velocity that you computed above? d. In which of the cases from part c, if any, is the average velocity over an interval equal to the average of the constant velocities occurring in that interval? [For example, is 5c (the average velocity from A to C) equal to / +)?]
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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