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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

- What Is the Formula for Velocity? – HowStuffWorks
- Velocity Calculator | Definition | Formula – Omni Calculator
- 4 Ways to Calculate Velocity – wikiHow
- Velocity – Wikipedia
- Velocity in Math: Definition, Equation & Problems – Study.com
- Equations of Motion – Isaac Physics
- 3.2 Instantaneous Velocity and Speed – UCF Pressbooks
- Speed and Velocity – The Physics Classroom
- Velocity Formula – SoftSchools.com
- What is the formula for velocity in science? – Quora
- Velocity Calculator v = u + at – Calculator Soup
- Speed and Velocity – Maths Is Fun
- Velocity Calculator – Inch Calculator
- Velocity: Definition, Formula & Unit – StudySmarter UK
- What Is Velocity in Physics? – ThoughtCo
- Speed and Velocity – The Physics Hypertextbook
- AVERAGE VELOCITY FORMULA – Wyzant
- Velocity Calculator (+Velocity Formula) – [100% Free] – Calculators.io
- How do I Find Velocity When Time Is Unknown? – Sciencing
- Velocity of a Falling Object: Calculate with Examples, Formulas – Statistics How To
- Formula For Velocity – Universe Today

Deep

Learnool.com was founded by Deep Rana, who is a mechanical engineer by profession and a blogger by passion. He has a good conceptual knowledge on different educational topics and he provides the same on this website. He loves to learn something new everyday and believes that the best utilization of free time is developing a new skill.