A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given by x(t), whose graph is shown in the figure below. Find the total distance traveled by the particle on the interval 0 ≤ t ≤ 18. ∞ 7 9 5 4 3 2 1 -2 -1 -1 -2 -3 ာ း မှာ မှ ထု -4 -6 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 x
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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x(t), whose graph is shown in the figure below. Find the total distance traveled by
the particle on the interval 0 ≤ t ≤ 18.
8
7
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-2 -1
4
32
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-1
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-3
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-8
1 23
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
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