**Velocity **(v) is equal to the ratio of **change in position **(Δx) to the **time **(t). Using the formula of velocity: **v = (x**_{f}** – x**_{i}**)/t**, the value of velocity of an object can be calculated.

Let’s solve some problems based on this formula, so you’ll get a clear idea.

## Velocity Practice Problems

**Problem 1:** A truck travels a distance of 12 m in 4 s. Calculate the velocity of a truck.

Solution:

Given data:

Initial position of a truck, x_{i} = 0 m

Initial position of a truck, x_{f} = 12 m

Time taken by a truck, t = 4 s

Velocity of a truck, v = ?

Using the formula of velocity,

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

Solution:

Given data:

Initial position of a car, x_{i} = 0 m

Initial position of a car, x_{f} = 240 m

Time taken by a car, t = 12 s

Velocity of a car, v = ?

Using the formula of velocity,

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, then what is the velocity of an athlete?

Solution:

Given data:

Initial position of an athlete, x_{i} = 0 m

Initial position of an athlete, x_{f} = 60 m

Time taken by an athlete, t = 5 s

Velocity of an athlete, v = ?

Using the formula of velocity,

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 which 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

Initial position of a bike, x_{f} = 500 m

Time taken by a bike, t = 50 s

Using the formula of velocity,

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**.

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**Related:**

- Free Fall Equation
- Air Resistance Formula
- Terminal Velocity Equation
- Gravity Equation
- Inertia Formula
- Acceleration Formula
- Momentum Equation
- Mass Formula
- Pressure Equation
- Kinematic Equations
- Friction Equation

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