Velocity Formula | Problems (With Solutions)

Velocity Formula

Velocity (v) is equal to the ratio of change in position (Δx) to the time (t). Using the formula of velocity: v = (xf – xi)/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, xi = 0 m
Initial position of a truck, xf = 12 m
Time taken by a truck, t = 4 s
Velocity of a truck, v = ?

Using the formula of velocity,
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: 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, xi = 0 m
Initial position of a car, xf = 240 m
Time taken by a car, t = 12 s
Velocity of a car, v = ?

Using the formula of velocity,
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, then what is the velocity of an athlete?

Solution:

Given data:
Initial position of an athlete, xi = 0 m
Initial position of an athlete, xf = 60 m
Time taken by an athlete, t = 5 s
Velocity of an athlete, v = ?

Using the formula of velocity,
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 which 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
Initial position of a bike, xf = 500 m
Time taken by a bike, t = 50 s

Using the formula of velocity,
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.

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