# Acceleration Formula | Problems (With Solutions)

Acceleration (a) is equal to the ratio of change in velocity (Δv) to the time (t). Using the formula of acceleration: a = (vf – vi)/t, the value of acceleration of an object can be calculated.

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

## Acceleration Practice Problems

Problem 1: One car is initially at rest. In 12 s, a car accelerates to 24 m/s. What is the acceleration of a car?

Solution:

Given data:
Time taken by a car, t = 12 s
Initial velocity of a car, vi = 0 m/s
Final velocity of a car, vf = 24 m/s
Acceleration of a car, a = ?

Using the formula of acceleration,
a = (vf – vi)/t
a = (24 – 0)/12
a = 24/12
a = 2 m/s2

Therefore, the acceleration of a car is 2 m/s2.

Problem 2: An athlete accelerates from 5 m/s to 25 m/s in 5 s. Calculate the acceleration of an athlete.

Solution:

Given data:
Initial velocity of an athlete, vi = 5 m/s
Final velocity of an athlete, vf = 25 m/s
Time taken by an athlete, t = 5 s
Acceleration of an athlete, a = ?

Using the formula of acceleration,
a = (vf – vi)/t
a = (25 – 5)/5
a = 20/5
a = 4 m/s2

Therefore, the acceleration of an athlete is 4 m/s2.

Problem 3: A bike accelerating at 35 m/s comes to rest in 7 s, when the brakes are applied to it. Calculate the deceleration of a bike.

Solution:

Given data:
Initial velocity of a bike, vi = 35 m/s
Final velocity of a bike, vf = 0 m/s
Time taken by a bike, t = 7 s
Deceleration of a bike, a = ?

Using the formula of acceleration,
a = (vf – vi)/t
a = (0 – 35)/7
a = (-35)/7
a = -5 m/s2

Therefore, the deceleration of a bike is -5 m/s2.

Problem 4: A truck accelerates from 12 m/s to 24 m/s in 4 s. What is the acceleration of a truck?

Solution:

Given data:
Initial velocity of a truck, vi = 12 m/s
Final velocity of a truck, vf = 24 m/s
Time taken by a truck, t = 4 s
Acceleration of a truck, a = ?

Using the formula of acceleration,
a = (vf – vi)/t
a = (24 – 12)/4
a = 12/4
a = 3 m/s2

Therefore, the acceleration of a truck is 3 m/s2.

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