59 M Water drips from the nozzle of a shower onto the floor 200 cm below. The drops fall at regular (equal) intervals of time, the first drop striking the floor at the instant the fourth drop begins to fall. When the first drop strikes the floor, how far below the nozzle are the (a) second and (b) third drops?
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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59 M Water drips from the nozzle of a shower onto the floor
200 cm below. The drops fall at regular (equal) intervals of time,
the first drop striking the floor at the instant the fourth drop
begins to fall. When the first drop strikes the floor, how far
below the nozzle are the (a) second and (b) third drops?
60 M G A rock is thrown vertically upward from ground level
at time t = 0. At t = 1.5 s it passes the top of a tall tower, and
1.0 s later it reaches its maximum height. What is the height of
the tower?
61 H GOA steel ball is dropped from a building's roof and
passes a window, taking 0.125 s to fall from the top to the bottom
of the window, a distance of 1.20 m. It then falls to a sidewalk
and bounces back past the window, moving from bottom to top
in 0.125 s. Assume that the upward flight is an exact reverse of
the fall. The time the ball spends below the bottom of the win-
dow is 2.00 s. How tall is the building?
62 H BIO FCP A basketball player grabbing a rebound jumps
76.0 cm vertically. How much total time (ascent and descent)
does the player spend (a) in the top 15.0 cm of this jump and (b)
in the bottom 15.0 cm? (The player seems to hang in the air at
the top.)"
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