4. Recall that Newton's law is F = ma, where F is the net force, m is the mass and a is the acceleration of the object. At first this may not look like it, but this is actually a differential equation. (c) We can find the displacement of the ball in the same manner (as a dr/dt² and v = dı/dt) and proceed to solve the 2nd order ODE. How- ever, we can simply integrate the velocity to obtain the displacement. Use either method you prefer to obtain the displacement with the initial condition r(0) = 0m.
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.
![4. Recall that Newton's law is F = ma, where F is the net force, m is the mass
and a is the acceleration of the object. At first this may not look like it, but
this is actually a differential equation.
(c) We can find the displacement of the ball in the same manner (as a
dr/dt² and v = dı/dt) and proceed to solve the 2nd order ODE. How-
ever, we can simply integrate the velocity to obtain the displacement.
Use either method you prefer to obtain the displacement with the initial
condition r(0) = 0m.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3ce8de5-ecf5-4ec3-b1a8-98d32911cf5f%2F0ba92af5-ad41-4f94-825e-b5a6728c8450%2Fnrok1awc_processed.png&w=3840&q=75)
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