Uniformly Accelerated Motion - Constant Acceleration, Uniform Acceleration

Edited By Vishal kumar | Updated on Sep 24, 2024 10:04 PM IST

In this article we are going to study a very important topic of class 9. We will go through to this topic by covering the given topics one by one. In uniformly accelerated motion we will see what is uniform acceleration that is uniform acceleration definition, example of uniform acceleration, what is constant acceleration, equation of uniformly accelerated motion, difference between uniform acceleration and non-uniform acceleration, constant accelerated motion and its formula.

JEE Main 2025: Physics Formula | Study Materials | High Scoring Topics | Preparation Guide

JEE Main 2025: Syllabus | Sample Papers | Mock Tests | PYQs | Study Plan 100 Days

NEET 2025: Syllabus | High Scoring Topics | PYQs

Uniformly Accelerated Motion - Constant Acceleration, Uniform Acceleration

uniformly accelerated motion

First let’s revise,

What is acceleration?

Rate of change of velocity with respect to time is known as acceleration.

Any person who is speeding up, speeding down, or changing its direction while moving is accelerating. This means that acceleration is associated with change in speed or in direction or both of them.

A = dv / dt here a is representing acceleration

V is velocity and t is time

Also read -

What is uniform acceleration / uniformly acceleration definition

If a vehicle maintains a constant or a uniform change in its velocity in a given time interval along a straight line then the vehicle is said to have a constant acceleration and its motion is defined as uniformly accelerated motion.

Diagram of moving car

Uniformly accelerated motion is the motion of an object in which acceleration through out the motion is uniform. So acceleration w is constant. In the case of uniformly accelerated rectilinear motion, the object moves with uniform speed with zero acceleration.

Example of uniform acceleration

There can be various examples of uniformly accelerated motion are :

1. Motion of a ball dropped from a height a body moving with a constant speed in a straight line has a uniform motion.

ball dropped

2. Motion of a bicycle going down the slope of a road when the rider is not paddling and the wind resistance is negligible .

3. A freely falling body is also an example of uniformly accelerated motion.

A group of people jumping into the water free fall

Motion of earth around the sun and many more.

Equation of uniformly accelerated motion

Kinematics equation for uniformly accelerated motion

a = the acceleration taken to be constant,

t = time the object has been accelerating,

v0 = initial velocity of the GIVEN object,

vf = FINAL velocity of the object at time t ,

∆x = displacement of the object during the time interval.

graphical method

First equation of motion
Vf = v0+ at

Second equation of motion
∆x =vo t + ½ at2

JEE Main Highest Scoring Chapters & Topics

Just Study 40% Syllabus and Score upto 100%

Download E-book

Third equation of motion
∆x = ½ ( vf + vo) t

Fourth equation of motion
∆x = vf t - ½ at 2

Fifth equation of motion
vf 2 = vo 2 + 2 a ∆x.

These are the equations used for calculating the various components like initial velocity, final velocity, acceleration, time or distance. These equations are derived by using graphical method.

Related Topics Link,

Difference between uniform and non-uniform motion

Uniform accelerated motion

Defining the term ,uniform acceleration motion implies the movement of a body along a straight line with an increase in its velocity by equal interval of time.
Some example of uniformly accelerated motion is the motion of a freely falling body, a bicycle going down the slope of a road, a ball falling from the top of the building.

A person riding a bike

Non-uniform accelerated motion

Non-uniform accelerated motion is the one in which acceleration is not uniform. An example of non uniformly accelerated motion is a car running on a crowded city road. It changes at one moment when the velocity of car increases.

A red car on road

Also Read:

Constant accelerated motion and its formula.

As now we know that constant accelerated motion is if some object is changing its speed with regular interval of duration.

And formulas used are ;

Writing the three equations of uniformly accelerated motion

Vf = v0+ at

∆x =vo t + ½ at2

∆x = ½ ( vf + vo) t

Now we all have studied,

Also check-

NCERT Physics Notes:

Frequently Asked Questions (FAQs)

1. What are positive and negative acceleration in a straight line?

If velocity of a particle increases with time then its acceleration is said to be positive acceleration whereas if the velocity of a particle keeps on decreasing it is known as negative acceleration or deceleration.

2. Motion in a plane with constant acceleration.

If we take a particle moving in xy coordinate plane with a constant acceleration a located at point b at time t which has a position coordinate r and velocity v. It reaches point b’ has a position coordinate r’ and velocity v’ . Constant acceleration a is equal to change in velocity by time.

3. What is free fall?

Freefall is the downward motion under the influence of gravity in other words when the only force acting on an object is gravity the object is said to be in freefall in vacuum that is in no air all objects in freefall accelerate at the same rate regardless of mass likewise a ball falling down with negligible air resistance. Freefall objects falling unaffected by air resistance owners we can’t fall without air resistance but for normal situation the numbers are realistic when things fall they constantly accelerate if we can ignore air resistance all objects excellent at the same rate that is at the acceleration due to gravity on earth at sea level.

4. Difference between constant acceleration and uniform acceleration .

In constant acceleration the body moving in a particular direction does not change its direction whereas in uniform acceleration the particle covers an equal distance in equal duration of time hence in both the situation acceleration of the body is zero.

5. What is the difference between uniform motion and uniform speed?

Uniform motion meant uniform velocity but uniform speed is change in direction likewise for uniform circular motion hair the speed of the particle remains same but the direction of particle keeps on changing.