A ball is thrown downward from the top of a building with an initial speed of 24 m/s. If the ball hits the ground after 2.0 s, what is the height of the building? (Disregard air resistance. a = g =-9.81 m/s?
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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Acceleration Free Fall Problem:
A ball is thrown downward from the top of a building with an initial speed of 24
m/s. If the ball hits the ground after 2.0 s, what is the height of the building?
(Disregard air resistance. a = g =-9.81 m/s?)
Given:
1
Ax = Vị t+
z at?
Thrown at Vi- 24 m/s (negative because down)
t= 2.0 s
a=9.8 m/s?
h=?
Solution:
Delta X = (-24)(2.0) + ((.5)(-9.8)(2.0²)) = (-48) + (- 19.6) = - 67.6 m
Height is negative
because it is
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