expression x = -4.00t + 2.00t², where x is in meters and t is in seconds. a) Determine the displacement of the particle in the time intervals t=1s to t=3s. b) Calculate the average velocity in the time intervals t=1s to t=3s. c) Calculate the average acceleration in the time intervals t=1s to t=3s.
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.
![Exercise 1: A particle moves along the x axis. Its x coordinate varies with time according to the
expression x = -4.00t + 2.00t², where x is in meters and t is in seconds.
a) Determine the displacement of the particle in the time intervals t=1s to t=3s.
b) Calculate the average velocity in the time intervals t=1s to t=3s.
c) Calculate the average acceleration in the time intervals t=1s to t=3s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01a0624f-6e45-4084-9fc9-86f51b863e32%2Ffc1dc116-7a29-42c8-b665-c52404bb1c41%2F1orvr4_processed.jpeg&w=3840&q=75)
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