# Average Velocity Formula

As the word states, **Average Velocity** is the average value of the known velocities. Displacement over total time is Average Velocity. The average speed of an object is described as the distance traveled divided by the time gone. Velocity is a vector unit, and average velocity can be described as the displacement divided by the time. The units for velocity can be understood from the definition to be meters/second or in common any distance unit over any time unit. The average speed of a body is described as the distance covered divided by the time elapsed.

It is useful in determining the average value of speed if the body is varying continuously for the given time intervals.

It is known as **V _{av}**.

**Average Velocity Formula**fluctuates based on the given problem.

If any distances x_{i} and x_{f} with their corresponding time intervals t_{i} and t_{f} are given we use the formula

Where x_{i }= Initial Distance,

Final distance = x_{f },

Initial time = t_{i},

Final time = t_{f}.

If final Velocity V and Initial velocity U are known, we make use of the formula

Where,

U = Initial Velocity and

V = Final Velocity.

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

**Average Velocity Problems**

Below are problems based on Average Velocity:

**Problem 1: **Compute the average velocity at a specific time interval of a particle if it is moves 5 m at 2 s and 15 m at 4s along x-axis?

**Answer:**

Given: Initial distance traveled, x_{i} = 5 m,

Final distance traveled, x_{f} = 15 m,

Initial time interval t_{i} = 2s,

Final time interval t_{f}_{ }= 4s.

**Problem 2: **A car is moving with an initial velocity of 20 m/s and it touches its destiny at 50 m/s. Calculate its average velocity.

**Answer:**

Given: Initial Velocity U = 20 m/s,

Final velocity V = 50 m/s.