rock is shot vertically upward from the edge of the top of a tall building. The rock reaches its maximum height above the top of the building 1.44 s after being shot. Then, after barely missing the edge of the building as it falls downward, the rock strikes the ground 5.50 s after it was launched Can you
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 rock is shot vertically upward from the edge of the top of a tall building. The rock reaches its maximum height above the top of the
building 1.44 s after being shot. Then, after barely missing the edge of the building as it falls downward, the rock strikes the ground 5.50 s
after it was launched.
(a) with what upward velocity was the rock shot?
14.112✔
14.1 m/s
(b) What maximum height above the top of the building is reached by the rock?
10.16064
10.2 m
(c) How tall is the building?
70.609✔
70.6 m
Additional Materials
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Draw a picture
Label which directions
are positive (x- and
y-), and label relevant
quantities on diagram
Find a second
equation...
if you're missing a
quantity needed to use
an equation. Draw up a
olan on how to link the
equations & quantities
Solve for the
quantity without
using numbers
First cancel any quantities that
are zero. Use algebra to isolate
the quantity you need on one
side of the equals sign. Check
with dimensional analysis
-
19 gives the free-body diagram for four situations in
ject is
et is pulled by several forces across a frictionless
n from overhead. In which situations does the accel-
the object have (a) an x component and (b) a y com-
96N
2N 3N
2N
(5-3)
3-2)
Physics Problem Flow Chart
Draw a
second
picture...
Identify
explicitly given
values
...if you have
BEFORE/AFTER
situations, force
additions, vector
component diagrams
Find relevant
equation(s)
One that links the given
quantities to the quantity
you need to find
Sub in
numbers on
paper
Make sure units of
each number are
correct before you
substitute in values
into the equations
-
Write all given actual
numbers in terms of
variables. For previously
calculated values, use values
before rounding for sig figs
ponent? (c) In
at and (b) the calquadrach situation, give the direc
either a quadrant or a direction along -
the calculator because this can by
calculations.)
Identify required
quantity and
type of problem
Look for keywords like
"when", "how far", "how
fast", etc. Get type of
problem from quantities
given/sought
Use calculator
to find value
gible.
end of the cord pulls on a
th negligible mass and negligible friction on its axle to op-
cord runs around a massless, frictionless pulley (a pul-
e cord, away from the point of at-
oth ends of the cord have the same magnitude
a massless cord (a cord with negligible
pose its rotation).
Use as few presses of
the "=" or "ENTER"
button as possible.
Keep extra sig figs until
next step
body
always par-
te sliding. On a
Newton's Third Law If a force Far acts on body B due to
body C, then there is a force Fes on body C due to body B:
Fac = -Fcs-
←
Wording that implies
specific values: e.g. "at
rest", "comes to a stop",
"dropped", "smooth
surface", "constant velocity"
Identify
implicitly given
values
Calculate/convert
easily derived
quantities
For example, the x- and y-
components of
velocity/force vectors, or the
force of gravity given the
mass
|
Write conclusion
statement with
correct sig figs
In plain English with
correct units
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Stages
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