A pebble is dropped from rest from the top of a cliff. It takes Δt = 3.7 s for it to reach the ground. a)What is the initial velocity, vi, of the pebble in m/s? b)What is the value of the magnitude of acceleration, in m/s2? c) Express the final velocity vf of a object travelling with an acceleration a for a time period Δt which starts with an initial velocity vi. d)Calculate the magnitude of vf in m/s. e)Express the displacement Δy of an object travelling with acceleration a during a time period Δt that has an initial velocity vi. f) Calculate the magnitude of Δy in meters.
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 pebble is dropped from rest from the top of a cliff. It takes Δt = 3.7 s for it to reach the ground.
a)What is the initial velocity, vi, of the pebble in m/s?
b)What is the value of the magnitude of acceleration, in m/s2?
c) Express the final velocity vf of a object travelling with an acceleration a for a time period Δt which starts with an initial velocity vi.
d)Calculate the magnitude of vf in m/s.
e)Express the displacement Δy of an object travelling with acceleration a during a time period Δt that has an initial velocity vi.
f) Calculate the magnitude of Δy in meters.
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