Consider the following position vector. If the distance units are in meters and the time units are in seconds, what are the units on the number 20 and the number 42? 7 = 20tî – 42t?; Continuing with the position vector from the previous problem, what would the new position vector be if the origin were changed from (0, 0) to (3, 4)? What is the velocity vector for the position vector in the previous problem? Did you have to choose the first (before changing the origin) or the second position vector (after changing the origin) to answer this question? Why? What is the magnitude and direction of the velocity vector you determined in question 4 at t = 4 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.
This is a multipart question
Consider the following position vector. If the distance units are in meters and the time units are in seconds, what are the units on the number 20 and the number 42?
?⃑ = 20??̂− 42? 2 ?̂
- Continuing with the position vector from the previous problem, what would the new position vector be if the origin were changed from (0, 0) to (3, 4)?
- What is the velocity vector for the position vector in the previous problem? Did you have to choose the first (before changing the origin) or the second position vector (after changing the origin) to answer this question? Why?
-What is the magnitude and direction of the velocity vector you determined in question 4 at t = 4 s?
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