## Average Velocity formula :

Average Velocity formula V_{av(m/s)} in meter per second is equal to the Final distance x_{f(m)} in meter and minus the initial distance x_{i(m)} in meter and divided by the Final time t_{f(s)} in second minutes initial time t_{i(s)} in second. Hence the Average Velocity Formula can be written as,

**V _{av(m/s)}=x_{f(m)} – x_{i(m) / }t_{f(s)} – t_{i(s)}**

Where,

x_{i} → initial Distance in mm, cm, m

x→ Final Distance in mm, cm, m

t_{i} → initial time second

t_{f}→ Final time second

##### If final velocity v and initial velocity u are known , we make use of the formula,

**V _{av}=U+V/2**

Where,

U→ Initial velocity m/s

V→ Final velocity m/s

If there are diverse distance like d_{1,}d_{2},d_{3}……………d_{n} for diverse time intervals t_{1},t_{2},t_{3}………….t_{n} then

V_{av}= d1+d2+d_{3}……………d_{n }/ t_{1 }+t_{2 }+t_{3}………….t_{n}

## Sample Problems :

## Problem1 :

Calculate its average velocity? In a car is moving with an initial velocity of 40m/s and it touches its destiny at 50m/s.

### Solution :

Given initial velocity U=40m/s

Final velocity v=50m/s

Average Velocity V_{av}=U+V/2

V_{av}=(40+50)/2

V_{av}=65m/s

## Problem2 :

Calculate its average velocity? In a car is moving with an initial velocity of 10m/s and it touches its destiny at 80m/s.

### Solution :

Given initial velocity U=10m/s

Final velocity v=80m/s

Average Velocity V_{av}=U+V/2

V_{av}=(10+80)/2

V_{av}=85m/s