# 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 _{0 }+ gt*

*… … … (1)*

*or, v = 0 + gt*

*∴** v = gt … … … (2)*

(b) Distance:

*h= v _{0}t + *

*½ gt*

^{2}… … … (3)*or, h= 0 + **½ gt ^{2}*

*∴**h= **½ gt ^{2} … … (4)*

(c) Relation between final velocity and distance:

*v ^{2} = v_{0}^{2} + 2gh… … … (5)*

*or, v ^{2} = 0 + 2gh*

*∴** v ^{2} = 2gh … … (6)*

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

*v = v _{0 }– gt*

*… … … (7)*

*h= v _{0}t – *

*½ gt*

^{2}… … … (8)*v ^{2} = v_{0}^{2} – 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, *v _{0}*

Final velocity at the maximum height *v = 0*

We know,

*v ^{2} = v_{0}^{2} – 2gH*

*or, 0 = v _{0}^{2} – 2gH*

Time to reach the maximum height:

Let, the time to reach maximum height be = *t _{1}*

∴ We get,

*v = v _{0 }– gt_{1}*

*or, 0 = v _{0 }– gt_{1}*

### Physics *Linear Motion* (Part 2)

**Time to reach the ground from maximum height:**

Let, the maximum height be = *H *and the required time to reach the ground be t_{2}

At the maximum height, *v = 0*

So, using equation (4) we can write

We see from (11) and (12)

*t _{1 }= t_{2}*

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)**

*Physics Linear Motion (Part 2)*

Physics Linear Motion (Part 2)

Physics Linear Motion (Part 2)

Physics Linear Motion (Part 2)

http://teachingbd24.com/physics-linear-motion-part-2/English 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 JamalShah Jamalsjamal59@gmail.comAdministratorI'm an assistant professor of Physics, Head of the department, in BAF Shaheen College Dhaka since 1984. I'm almost 30 years in the profession of teaching. If you have benefited from my website, please consider to sharing it among your friends.Teaching BD
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