## 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

Time to reach the maximum height:

Let, the time to reach maximum height be = t1

∴ We get,

v = v– gt1

or, 0 = v– gt1

### 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

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

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)