The normal formula for velocity is
Velocity = Distance/Time .

In case of free fall —>
Initial velocity = Final velocity - acceleration × time
.
Final velocity = Initial velocity + acceleration × time
.
In case of body going vertically upwards —>
Initial velocity = Final velocity + acceleration × time
.
Final velocity = initial velocity - acceleration × time

Velocity Formula

Velocity is a measure of the rate and direction of motion of an object. It is a vector quantity, meaning it has both magnitude and direction. The formula for velocity is:

Velocity (v) = Displacement (d) / Time (t)

Where,
Displacement is the distance covered by an object in a specific direction.
Time is the duration for which the object traveled.

Explanation

The velocity formula is derived from the basic equation of motion, which states that the distance traveled by an object is equal to its velocity multiplied by the time for which it traveled:

Distance (d) = Velocity (v) x Time (t)

Rearranging this equation, we get:

Velocity (v) = Distance (d) / Time (t)

However, velocity is a vector quantity, and its direction matters. Therefore, we need to include the direction of motion in the formula. This is done by using displacement instead of distance. Displacement is the shortest distance between the initial and final positions of an object, and it is measured in a specific direction. Therefore, we can modify the velocity formula as:

Velocity (v) = Displacement (d) / Time (t)

The unit of velocity is meters per second (m/s) or kilometers per hour (km/h), depending on the units used for displacement and time.

Conclusion

In conclusion, the velocity formula is used to calculate the rate and direction of motion of an object. It is derived from the basic equation of motion and involves the measurement of displacement and time. Velocity is a vector quantity, and its unit is meters per second or kilometers per hour.