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KINEMATIC EQUATIONS FOR UNIFORMLY ACCELERATED MOTION

Velocity Time Relation

Consider uniformly accelerated motion with acceleration (a)

Displacement (x)

Time taken (t)

Initial velocity (v0 )

Final velocity (v)

Select suitable theory for each steps of derivation

a
s
a

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Displacement Time Relation

Consider uniformly accelerated motion with acceleration (a)

Displacement (x)

Time taken (t)

Initial velocity (v0 )

Final velocity (v)

Select suitable theory for each steps of derivation

av
s
s

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Velocity Displacement Relation

Consider uniformly accelerated motion with acceleration (a)

Displacement (x)

Time taken (t)

Initial velocity (v0 )

Final velocity (v)

Select suitable theory for each steps of derivation

a
d

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Displacement Time Relation - Graphical Method

From the velocity time graph

Select suitable theory for each steps of derivation

Displacement = Area OABCDO

x = OA x OD +  ½ AC x BC

s

OA =v0, OD = t, AC = t, BC = at

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Freely falling body

Question

Identify the graph ( time is in the X axis)

a

Hint

An object released near the surface of the Earth is accelerated downward under the influence of the force of gravity

v0 = 0, a = - g

Answers

Acceleration Time Graph

Displacement Time Graph

Velocity Time Graph

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Question

vt

Identify the graph

Hint

An object released near the surface of the Earth is accelerated downward under the influence of the force of gravity

v0 = 0, a = - g

Answers

Acceleration Time graph

Displacement Time graph

Velocity Time graph

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Question

d

Identify the graph

Answers

Acceleration Time graph

Displacement Time graph

Velocity Time graph

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