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.
One ball is dropped at rest from a height of h = 75 m. At the same time, another ball is thrown upward from the ground with initial velocity v2 = 34 m/s. It takes Δt time for them to meet on the way.
Defining the positive direction going upward, what is the acceleration of the two balls, a in m/s2?
Express the displacement of the ball falling down, Δy1, when the two balls meet in terms of Δt and a.
Express the displacement of the ball going upward, Δy2, when the two balls meet in terms of v2, a, and Δt.
Express h in terms of Δy1 and Δy2.
Calculate the numerical value of Δy2, in meters, which represents the height at which the two balls meet.
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