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KINEMATICSCHAPTER 2
By:
Sheilla Miranda, ST
Newton Peranginangin, ST
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After Learning This Chapter,
Students Should be Able to
Mention the type of rectilinear
motion
Express physical quantities of
rectilinear motion and use them in
problem solving
Apply rectilinear motion in daily life
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Rectilinear Motion
Uniform Rectilinear Motion
Accelerated Uniform
Rectilinear Motion
Vertical Motion
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Uniform Rectilinear
Motion
Characteristics:
Constant Velocity
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Uniform Rectilinear
Motion
Formula:
s = v . t
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Uniform Rectilinear
Motion
If t = 8 secThen v = ?
16 m
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Uniform Rectilinear
Motion
If vA= 4 m/s and vB = 2 m/sThen, where A and B meet?
36 m
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Uniform Rectilinear
Motion
If vA= 7 m/s, vB = 3 m/s, and both
cars are moving together;Then, where A overtake B?
20 m
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Uniform Rectilinear
Motion
If A move earlier 3 s before B,vA= 8 m/s, and vB = 3 m/s;
44 m
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Uniform Rectilinear
MotionWhen A overtake B, considered
from A start moving
When A overtake B, considered
from B start moving
Where A overtake B, considered
from A start moving
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Accelerated Uniform
Rectilinear Motion
Characteristics:
Velocity accelerated
uniformly
Constant Acceleration
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Accelerated Uniform
Rectilinear MotionFormula:
v = v0 + ats = v0t + at
2
v2 = v02 + 2as
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Accelerated Uniform
Rectilinear Motiona
v0
If v0 = 2 m/s, and the acceleration
given is a = 4 m/ s2;What is v after 4 s?
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Accelerated Uniform
Rectilinear Motiona
v0
If v0 = 2 m/s, and the acceleration
given is a = 4 m/ s2;When is v = 26 m/s?
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Vertical Motion
The acceleration in vertical
motion is the accelerationof gravitation which is
constant and directsdownward.
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Vertical Motion
Free Fall MotionUpward Vertical Motion
Downward Vertical Motion
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Free Fall Motion
Free fall motion is downward
vertical motion with zero initial
velocity and constantacceleration which is the same as
the gravitational acceleration of
the earth, g.
Thus, v0 = 0 and a = g.
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Free Fall Motion
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Free Fall Motion
A coconut falls from the height of
20 m.a. How long does it takes to reach
the ground?
b. What is its velocity before ithits the ground?
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Free Fall Motion
h = 20 m; g = 10 m/s2
a. h = gt 2 t = 2 s
b. v = gt = 20 m/s
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Upward Vertical
MotionThe upward vertical motion is
vertical motion of an object thrown
upward with certain initial velocity.
The speed of the object decreases
until zero before it finally fallsfreely.
Thus, v0 0 and a = g.
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Upward Vertical
Motion
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Upward Vertical
Motion
An iron ball is fired vertically
upward from the ground with a
velocity of 10 m/s. How long
does it takes to reach itsmaximum height? (g = 10 m/s2)
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Upward Vertical
Motion
hmax = v0t gt2 = 20 m
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Downward Vertical
Motion
Downward vertical motion is the
vertical motion of an object
thrown downward with initial
velocity.Thus, v0 0 and a = g.
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Downward Vertical
Motion
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Downward Vertical
Motion
A diver jumps from a diving board
at the height of 8 m with initial
velocity of 6 m/s. If g = 10 m/s2,
determine the velocity as thediver reaches the water.
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Downward Vertical
Motion
h = 8 m; v0 = 6 m/s;
g = 10 m/s2
v2 = v02 + 2gh
v = 14 m/s
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Graphs
Displacement-Time Graph
Velocity-Time Graph
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Displacement-TimeGraph
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Displacement-TimeGraph
Gradient of(s-t) graph
gives
Velocity
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Velocity-Time Graph
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Velocity-Time Graph
Gradient of(v-t) graph
gives
Accelera-
tion
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Velocity-Time Graph
Area under(v-t) graph
gives
Displace-
ment