The position of a particle along a straight line is given by s =( 1.81t3-15.21t2+22.7t ) ft, where t is in seconds. Determine the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled.
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.
![The position of a particle along a straight line is given by s =( 1.81t3-15.21t2+22.7t ) ft, where t is in seconds.
Determine the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total
distance traveled.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e592798-5055-4f73-a83a-c16de3ecf8a4%2Fe2e9742e-d89f-466c-8d1b-6d19207229de%2Fgtgrzp9_processed.jpeg&w=3840&q=75)
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