A man steps outside one winter day to go to work. His icy driveway is 8.0 m long from top to mailbox, and it slopes downward at 20° from the horizontal. He sets his briefcase on the ice at the top while opening the garage, and the briefcase slides down the driveway. Ignore friction. (a) What is its acceleration? (b) How many seconds does it take to get halfway to the mailbox? (c) How many seconds does it take to reach the mailbox? (d) What is its speed at the instant it reaches the mailbox?
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 man steps outside one winter day to go to work. His icy
driveway is 8.0 m long from top to mailbox, and it slopes downward
at 20° from the horizontal. He sets his briefcase on the
ice at the top while opening the garage, and the briefcase slides
down the driveway. Ignore friction. (a) What is its acceleration?
(b) How many seconds does it take to get halfway to the mailbox?
(c) How many seconds does it take to reach the mailbox?
(d) What is its speed at the instant it reaches the mailbox?
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