A small ball is released from rest from a point that is 40m above horizontal line ground. The ball bounces on the ground and rebounds vertically. Each time the ball bounces on the ground the speed of the ball is instantaneously reduced by 50%. The ball is modelled as a particle moving freely under gravity from the instant when it is released until it first hits the ground and between each successive bounce. Find the time from the instant when the ball is released from the rest to the instant when it hits the ground for the second time
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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