Suppose you are standing at the edge of a 200 meter tall cliff and are in the habit of dropping objects from great heights. So, you drop a rock off of the cliff. (a) What are the initial position s(0), velocity v(0), and acceleration a(0) of the rock? b) Use your answers from part (a) to define functions s(t), v(t), and a(t) describing the position, velocity, and acceleration, respectively, after t seconds. (c) How long will it take for the rock to hit the ground? How fast is it falling when it hits?
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.
Suppose you are standing at the edge of a 200 meter tall cliff and are in the habit of dropping objects from great heights. So, you drop a rock off of the cliff.
(a) What are the initial position s(0), velocity v(0), and acceleration a(0) of the rock?
b) Use your answers from part (a) to define functions s(t), v(t), and a(t) describing the position, velocity, and acceleration, respectively, after t seconds.
(c) How long will it take for the rock to hit the ground? How fast is it falling when it hits?
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