The Grand Canyon is 6000 feet deep at the deepest part. A rock is dropped from this height. (The acceleration due to gravity is -32 feet/sec2.) a. Express the height of the rock as a function of the time (in seconds). b. How long will it take the rock to hit the canyon floor? c. With what velocity does the rock hit the canyon floor? With what acceleration?
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.
The Grand Canyon is 6000 feet deep at the deepest part. A rock is dropped from this height. (The acceleration due to gravity is -32 feet/sec2.)
a. Express the height of the rock as a function of the time (in seconds).
b. How long will it take the rock to hit the canyon floor?
c. With what velocity does the rock hit the canyon floor? With what acceleration?
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