The **velocity formula** states that velocity (v) is calculated as the ratio of the change in position (Δx) to the time (t). Mathematically, the formula for velocity is expressed as v = (x_{f} – x_{i})/t. This formula allows for the calculation of the velocity of an object based on its change in position and the time it takes.

## Practice problems

### Problem #1

A truck travels a distance of 12 m in 4 s. Calculate the velocity of the truck.

**Solution**

Given data:

- Initial position of a truck, x
_{i}= 0 m - Final position of a truck, x
_{f}= 12 m - Time taken by a truck, t = 4 s
- Velocity of a truck, v = ?

Applying the formula:

- v = (x
_{f}– x_{i})/t - v = (12 – 0)/4
- v = 12/4
- v = 3 m/s

Therefore, the velocity of a truck is **3 m/s**.

### Problem #2

A car is initially at rest. In 12 s, the car travels a distance of 240 m. What is the velocity of the car?

**Solution**

Given data:

- Initial position of a car, x
_{i}= 0 m - Time taken by a car, t = 12 s
- Final position of a car, x
_{f}= 240 m - Velocity of a car, v = ?

Applying the formula:

- v = (x
_{f}– x_{i})/t - v = (240 – 0)/12
- v = 240/12
- v = 20 m/s

Therefore, the velocity of a car is **20 m/s**.

### Problem #3

If an athlete travels a distance of 60 m in 5 s, what is the velocity of the athlete?

**Solution**

Given data:

- Initial position of an athlete, x
_{i}= 0 m - Final position of an athlete, x
_{f}= 60 m - Time taken by an athlete, t = 5 s
- Velocity of an athlete, v = ?

Applying the formula:

- v = (x
_{f}– x_{i})/t - v = (60 – 0)/5
- v = 60/5
- v = 12 m/s

Therefore, the velocity of an athlete is **12 m/s**.

### Problem #4

Calculate the velocity of a bike that travels a distance of 500 m in 50 s.

**Solution**

Given data:

- Velocity of a bike, v = ?
- Initial position of a bike, x
_{i}= 0 m - Final position of a bike, x
_{f}= 500 m - Time taken by a bike, t = 50 s

Applying the formula:

- v = (x
_{f}– x_{i})/t - v = (500 – 0)/50
- v = 500/50
- v = 10 m/s

Therefore, the velocity of a bike is **10 m/s**.

## Related

## More topics

- Free fall equation
- Air resistance formula
- Terminal velocity equation
- Gravity equation
- Inertia formula
- Acceleration formula
- Momentum equation
- Mass formula
**Velocity formula**- Pressure equation
- Kinematic equations
- Friction equation

## External links

- https://science.howstuffworks.com/math-concepts/velocity-formula.htm
- https://www.omnicalculator.com/physics/velocity
- https://www.wikihow.com/Calculate-Velocity
- https://study.com/academy/lesson/average-velocity-definition-formula-examples.html
- https://www.studysmarter.us/explanations/physics/oscillations/velocity/