5. The x-location and y-location of a particle are described by the following equations, where x and y are in meters and time is in seconds: x = 4e-t y = 2 + 8e-2t a. What is the equation of the particle's path in the x-y plane? b. What are the (x,y) coordinates of the particle at time=0 and as time → co? c. What is the speed of the particle at time=0?
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.
![5. The x-location and y-location of a particle are described by the following equations, where x and y are
in meters and time is in seconds:
X = 4e-t
y = 2 + 8e-2t
a. What is the equation of the particle's path in the x-y plane?
b. What are the (x,y) coordinates of the particle at time=0 and as time → o?
c. What is the speed of the particle at time=0?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8f167f6-378b-4d93-8c46-3a63d128f86d%2Fdbd2babb-a4b1-404b-8ac5-3834f437b5c5%2F2qntwx7i_processed.png&w=3840&q=75)
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