Kinematics Chapter 2

8/3/2019 Kinematics Chapter 2

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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

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Kinematics Chapter 2