Question

Define uniformly accelerated motion, and give one example of it.

Answer 1

Hint : Uniform acceleration is also known as constant acceleration. In general, acceleration is the rate of change of velocity with time. So the term constant acceleration means that the velocity is increasing constantly with time.

Complete step by step answer
When the position of a body (or point even) changes in space, the body is considered to have moved. But when the body changes position constantly in time, it is said to be in motion. In physics motion is particularly important and the study of motion is called mechanics.
Now, the rate at which a body changes its position is known as the speed of the body. It is known as velocity when the change in motion is considered only in a particular direction. This velocity in itself can change in time. But when a body is changing position at the same rate in time it is said to be moving at a constant velocity. This means that a body moving at constant velocity, would move from 0 to 2 metres in the same time it will move from 2 to 4 metres.
On the other hand, if it takes say 2 seconds to move from 0 – 2 metres but takes only one second to move from 2 – 4 metres, then the body must have a changing velocity. When the body is changing velocity, it is said to possess an acceleration.
Acceleration is the rate of change of velocity with time. In certain circumstances, acceleration itself can also change but it’s usually not of interest in mechanics.
However a uniformly (or constantly) accelerating motion can be defined as a motion in which the time-rate of change of the velocity of a body undergoing the motion is constant throughout the state of motion of that body. An example of a uniformly accelerating motion is the motion of a stone falling freely under gravity.

Note
We should note that a uniformly accelerated motion is what is asked to be defined and not acceleration itself or an accelerating body. A uniformly accelerating motion can also be defined simply as a motion where a uniform acceleration of a body is taking place.