As a science project, you drop a watermelon off the top of the Empire State Building, 320 m above the sidewalk. It so happens that Superman flies by at the instant you release the watermelon. Superman is headed straight down with a speed of 30.0 m/s . How fast is the watermelon going when it passes Superman
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.
As a science project, you drop a watermelon off the top of the Empire State Building, 320 m above the sidewalk. It so happens that Superman flies by at the instant you release the watermelon. Superman is headed straight down with a speed of 30.0 m/s . How fast is the watermelon going when it passes Superman?
Consider we drop a watermelon off the top of the empire state building having a height (h) above the sidewalk.
h=320 m ----(1) [Given]
acceleration due to gravity,(g)=9.8 m/sec2 ----(2) [Universal Constant]
It also happens that Superman flies by at the instant when we release the watermelon. Superman is headed straight down with a speed of superman (VS) in m/sec respectively.
VS=30 m/sec ----(3) [Given]
Distance traveled by superman be (DS) in meter & time (T) in seconds respectively which can be given by:-
------(4)
Distance traveled by watermelon be (DW) in meter & time (T) in seconds respectively which can be given by:-
Using 2nd equation of motion we get,
[Here UW is the initial velocity of the watermelon]
-----(5) [UW is zero because initially, watermelon is at rest]
The watermelon passes Superman when the two are the same distance from the top at the same time.
So, DS = DW -----(6)
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