# Velocity formula

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 = (xf – xi)/t. This formula allows for the calculation of the velocity of an object based on its change in position and the time it takes.

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## 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, xi = 0 m
• Final position of a truck, xf = 12 m
• Time taken by a truck, t = 4 s
• Velocity of a truck, v = ?

Applying the formula:

• v = (xf – xi)/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, xi = 0 m
• Time taken by a car, t = 12 s
• Final position of a car, xf = 240 m
• Velocity of a car, v = ?

Applying the formula:

• v = (xf – xi)/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, xi = 0 m
• Final position of an athlete, xf = 60 m
• Time taken by an athlete, t = 5 s
• Velocity of an athlete, v = ?

Applying the formula:

• v = (xf – xi)/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, xi = 0 m
• Final position of a bike, xf = 500 m
• Time taken by a bike, t = 50 s

Applying the formula:

• v = (xf – xi)/t
• v = (500 – 0)/50
• v = 500/50
• v = 10 m/s

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