The position of an object moving along an x-axis is given by x = 4t – 5t2 + t³, where x is in meters and t is in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the objecť's displacement between t = 0 and t = 3 s? (f) What is its average velocity for the time interval from t = 2 s to 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.
![Question 4:
The position of an object moving along an x-axis is given by x = 4t – 5t? + t³, where x is in
meters and t is in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s,
(c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 3 s? (f) What is its
average velocity for the time interval from t = 2 s to t = 4 s?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44821c7d-242c-40ef-b85a-7bda2bfbd54e%2Fb8dce5d5-82f6-40ee-a533-f7f93e95b985%2Fb11whf9_processed.png&w=3840&q=75)
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