A prankster flips a coin off of the Empire Building at a height of 1054 feet above the ground. The initial vertical velocity of the coin is 1.20m/s. In real life, air resistance would limit the maximum speed the coin can attain during its fall, but if air resistance were not a factor and assuming it has practically no horizontal motion, answer the following questions. (1 foot = 0.3048m) a. What would the coin's velocity be when it hits the ground? b. How long would it take to hit? c. How high would the coin be halfway through the total falling time, and how fast would it be falling then?
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 prankster flips a coin off of the Empire Building at a height of 1054 feet above the ground. The initial vertical velocity of the coin is 1.20m/s. In real life, air resistance would limit the maximum speed the coin can attain during its fall, but if air resistance were not a factor and assuming it has practically no horizontal motion, answer the following questions. (1 foot = 0.3048m)
a. What would the coin's velocity be when it hits the ground?
b. How long would it take to hit?
c. How high would the coin be halfway through the total falling time, and how fast would it be falling then?
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