If a stone is dropped from the top of a tower with initial release velocity equal to zero, it falls a distance d in time t given by d = ½ gt2 where g is acceleration due to gravity (g = 9.8 m/s2). Its speed v at time t is given by v = gt. Suppose you go to the top of a tower and drop a stone. It hits the ground after 4.5 seconds. By how much does it drop in 1 second? How much is its displacement between 1 s and 2 s? What is the height of the tower? Drop = 14.7 m, Displacement = 4.9 m, Height = 19.6 m Drop = 4.9 m, Displacement = 14.7 m, Height = 99 m Drop = 4.9 m, Displacement = 14.7 m, Height = 19.6 m
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.
If a stone is dropped from the top of a tower with initial release velocity equal to zero, it falls a distance d in time t given by d = ½ gt2 where g is acceleration due to gravity (g = 9.8 m/s2). Its speed v at time t is given by v = gt. Suppose you go to the top of a tower and drop a stone. It hits the ground after 4.5 seconds. By how much does it drop in 1 second? How much is its displacement between 1 s and 2 s? What is the height of the tower?
- Drop = 14.7 m, Displacement = 4.9 m, Height = 19.6 m
- Drop = 4.9 m, Displacement = 14.7 m, Height = 99 m
- Drop = 4.9 m, Displacement = 14.7 m, Height = 19.6 m
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