**Initial Velocity Formula**

The velocity at which motion start is termed as Initial Velocity. It is velocity at time interval t = 0. It is represented by **u**.Three initial velocity formulas are there-

If final time, acceleration and velocity are provided. The initial velocity is articulated as,

u =v – at

If final velocity, acceleration, and distance are provided we make use of

u^{2 }= v^{2 }– 2as

If distance, acceleration and time are provided. The initial velocity is

Where,

Initial velocity = u,

Final Velocity = v,

time taken = t,

distance traveled or displacement = s,

acceleration = a

Initial Velocity formula is made use of to find the initial velocity of the body if some of the quantities are given. Initial velocity is articulated in **meter per second** **(m/s)**.

**Initial Velocity Solved Examples**

Below are some problems based on Initial velocity which may be helpful for you.

**Problem 1: **Johny completes the bicycle ride with the final velocity of 10 ms^{-1} and acceleration 2 ms^{-2} within 3s. Calculate the initial velocity.

**Answer:**

Given: v (Final velocity) = 10 ms^{-1},

a (Acceleration) = 2ms^{-2},

t (Time taken) = 3 s

u (Initial velocity) = ?

v (Final velocity) = u + at

u (Initial velocity) = v – at = 10 ms^{-1} – (2ms^{-2})3s

= 4 ms^{-1}

∴ (Initial velocity) u = 4ms^{-1}

**Problem 2: **A man covers a distance of 100 m. If he has a final velocity of 40 ms^{-1} and has acceleration of 6 ms^{-2}. Compute his initial velocity?

**Answer:**

Given: Distance s = 100m,

(Final velocity) v = 40 ms^{-1},

(Acceleration) a = 6ms^{-2}

(Initial velocity) u^{2} = v^{2} – 2as

= 1600 – 2 ×× 6 ×× 100

= 1600 – 1200

= 400 ms^{-1}

∴ (Initial velocity) u = 20 ms^{-1}.