The position of an object moving along an x axis is given by x = 3.18 t-4.20 t2 + 1.02 t3, where x is in meters and t 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 betweent=0 and t = 4 s? (f) What is its average velocity from t=2stot=4s? (a) Number i (b) Number i (c) Number i (d) Number i (e) Number i (f) Number i Units Units Units Units Units Units
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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A
The position of an object moving along an x axis is given by x = 3.18 t-4.20 t2 + 1.02 t3, where x is in meters and t 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 = 4 s? (f) What is its average velocity from t=2stot=4s?
(a) Number
(b) Number i
(c) Number
i
(d) Number i
(e) Number i
(f) Number
i
Units
Units
Units
Units
Units
Units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee7dba28-aaad-459c-951d-786c73410a96%2F8e77e65b-7765-4b2c-8973-8e75cfaea3b4%2F8gx109n_processed.jpeg&w=3840&q=75)
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