A Detailed Understanding of Uniformly Accelerated Motion

When a body moves in a plane or in a straight line, three characteristics – distance, velocity, and acceleration – are employed to characterise its motion. The term “distance” or “displacement” is self-evident. The rate of change of position is represented by velocity, whereas the rate of change of velocity is represented by acceleration. 

Displacement, velocity and acceleration, all of these three are vector quantities. There are two types of acceleration, namely, uniform and non-uniform. The value and direction of a homogeneous acceleration are both constant. It’s critical to understand the equations of motion that explain an object’s uniform acceleration motion.

Uniformly accelerated motion

One may say that the uniform acceleration motion definition refers to an object’s acceleration that remains constant regardless of the passage of time. For the sake of simplicity, let us say that a number equal to the acceleration in such a motion is constant as a function of time.

Acceleration

Acceleration is the term used to describe a change in the velocity of an object. In our everyday lives, we hear the term ‘acceleration’ often. A few examples of acceleration are any vehicle coming to a complete stop at a signal, the moon’s orbit around the Earth, or an item falling from a great distance. As a result, we may say that acceleration takes place whenever an object’s direction of motion or speed changes.

Assume you’re behind the wheel of a motorised vehicle. The car accelerates when the accelerator pedal is pressed. Eventually, the velocity grows to a higher (final) velocity than the starting velocity.

Uniformly accelerated motion

Motion in which acceleration does not change with time is called uniformly accelerated motion. The rate of change of velocity remains constant in such situations. The fact that acceleration is a vector quantity means that even the direction of motion remains constant in the presence of constant acceleration. Vector notations can be eliminated since the body is travelling in a single direction with a consistent level of acceleration.

Some examples of uniformly accelerated motions:

• A ball rolling down a hill.

• A person who jumps out of a plane.

• A bicycle that your application of the brakes has slowed down.

• A ball fell from the rungs of a ladder.

• A toy baby bottle that escaped from the bottom of a bathtub.

• A bicycle with its brakes activated for the rider’s protection.

Equations of Uniform Accelerated Motion 

When dealing with motion along a straight line with constant acceleration, three equations of motion may be used to determine one of the unknown parameters. These are as follows:

v=u + at

s = ut + 1/2 at ²

v² = u² + 2as

where,

v denotes the particle’s final velocity.

u denotes the particles with starting velocity.

s denotes the particle’s displacement.

a denotes the particle’s acceleration.

t denotes the time interval during which the particle’s motion is considered.

The methods for deriving equations of motion include a straightforward algebraic technique, a graphical method, and a calculus method.

It is important to remember that the sign convention must be followed while using these equations. One way is regarded as positive, whereas the other is considered harmful, and so on. One of the most common instances of uniformly accelerated motion is the motion of bodies that are free to fall. The only acceleration operating on the body is the acceleration g(acceleration due to gravity). Let’s consider the vertically upward direction to be positive. The acceleration due to gravity (g) will be harmful since it is in the downhill direction instead of the vertically upward direction.

Conclusion

Uniformly Accelerated Motion (UAM) is the motion of an object with a constant acceleration. To put it another way, the acceleration remains constant; both the direction and value. It is equivalent to a number that does not vary as a function of time. 

Uniformly accelerated motion occurs when an object’s velocity changes at a constant pace. As the distance travelled rises, so does the instantaneous velocity (in fixed time interval). The acceleration is the rate of change of velocity with respect to time.