A stone is thrown straight up from the roof of an 80-ft building. The distance (in feet) of the stone from the ground at any time t(in seconds) is given by h(t) =-16t2 +64t+ 80When is the stone rising, and when is it falling? If the stone were to miss the building, when would it hit the ground? Sketch the graph of h.Hint: The stone is on the ground when h(t) = 0.
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.
A stone is thrown straight up from the roof of an 80-ft building. The distance (in feet) of the stone from the ground at any time t(in seconds) is given by h(t) =-16t2 +64t+ 80
When is the stone rising, and when is it falling? If the stone were to miss the building, when would it hit the ground? Sketch the graph of h.
Hint: The stone is on the ground when h(t) = 0.
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