Physics Linear Motion (Part 2)

Physics Linear Motion (Part 2)

Physics Linear Motion (Part 2)

Equation of motion of freely falling bodies:

During a free fall the equations of motion as follows:

(a) Final velocity:

v = v+ gt… … … (1)

or, v = 0 + gt

 v = gt … … … (2)

(b) Distance:

h= v0t + ½ gt2… … … (3)

or, h= 0 + ½ gt2

h= ½ gt2 … … (4)

(c) Relation between final velocity and distance:

v2 = v02 + 2gh… … … (5)

or, v2 = 0 + 2gh

 v2 = 2gh … … (6)

Equation of motion of a body through vertically upward are as follows:

v = v– gt… … … (7)

h= v0t – ½ gt2… … … (8)

v2 = v02 – 2gh… … … (9)

Maximum height: At the maximum height the velocity of the body becomes zero.

Let, the maximum height be H.

And the initial velocity, v0

Final velocity at the maximum height v = 0

We know,

v2 = v02 – 2gH

or, 0 = v02 – 2gH

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Time to reach the maximum height:

Let, the time to reach maximum height be = t1

∴ We get,

v = v– gt1

or, 0 = v– gt1

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Physics Linear Motion (Part 2)

Time to reach the ground from maximum height:

Let, the maximum height be = and the required time to reach the ground be t2

At the maximum height, v = 0

So, using equation (4) we can write

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We see from (11) and (12)

t= t2

I.e. Time of ascending = Time of falling

Time of flight: Total time to flight:

Let, T = Time of ascending + Time of falling

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Physics Linear Motion (Part 2)

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Physics Linear Motion (Part 2)

Physics Linear Motion (Part 2)

Physics Linear Motion (Part 2)

Physics Linear Motion (Part 2)

Shah JamalEnglish VersionHSCNotePhysics 1st PaperEquation of maximum height,Equation of motion of freely falling bodies,Equation of time to reach the maximum height,Linear Motion,Time of flight.Physics Linear Motion (Part 2) Physics Linear Motion (Part 2) Equation of motion of freely falling bodies: During a free fall the equations of motion as follows: (a) Final velocity: v = v0 + gt… … … (1) or, v = 0 + gt ∴ v = gt … … … (2) (b) Distance: h= v0t + ½ gt2… … …...Shah Jamal's Online Classroom